how to do I make a graph?

Question

Your cost is 20 dollars plus 5 cents times the number of minutes you use your
phone.   C = 0.05m + 20

Answer 1

You are trying to show how much your phone bill will be (COST) when you use it (m minutes). Draw your axis for your graph. Place C on the vertical axis (up and down) since that is what you want to know. Place m on the horizontal axis (left-right) since this is what you are going to do use the phone.

Now, first let's see what C will be if you don't use the phone at all (that is when m=0). Plug in 0 for m and see what C equals: should look like this:  C = 0.05 * 0 + 20

That is one point on the graph.

Next, we need one more point to make a line so let's see what C is if you use the phone 1 minute ( let m = 1). Plug in 1 for m and again see what C equals then.

That's 2 points draw a line through your 2 points and you have your graph.

Answer 2

plot some points, connect them with a smooth curve

Cost = C(m) = .05m + 20, measured in dollars

plot m on the x axis, C on the y axis

(x,y) points include (0, 20) and (20, 21). plot them, connect them with a straight line

bottom of the line make a dark dot to indicate it includes that point

top of the line put an arrow pointing up & right to indicate the line (ray) goes forever, although there is a practical limit of total minutes in a month about 60x24x30 if you never hang up and just talk nonstop for 30 days straight

so it's really not a line, not ray, but a line segment with 2 ends

Answer 3

To create a graph of the equation:

C=0.05m+20C = 0.05m + 20C=0.05m+20where:

1. CCC represents the total cost in dollars,
2. mmm represents the number of minutes you use your phone,

^{Step 1: Identify the components of the equation}

1. Slope (0.05): This means for every additional minute, the cost increases by $0.05.
2. Y-intercept (20): This is the starting cost, which is $20 even if you don’t use any minutes.

^{Step 2: Create a Table of Values}

Choose some values for mmm (minutes) and calculate CCC (cost).

Minutes (mmm)Cost (CCC) = 0.05m + 20
0	20 + 0 = 20
10	20 + 0.5 = 20.5
20	20 + 1 = 21
40	20 + 2 = 22
100	20 + 5 = 25

^{Step 3: Plot the Points}

1. X-axis: Represents the number of minutes (mmm).
2. Y-axis: Represents the cost (CCC).

Plot the points:

(0, 20), (10, 20.5), (20, 21), (40, 22), (100, 25).

^{Step 4: Draw the Graph}

1. Draw a straight line through all the points.
2. Make sure the line extends in both directions, as the cost increases with more minutes.

^{Step 5: Label the Axes}

1. X-axis: "Minutes Used"
2. Y-axis: "Total Cost ($)"

Answer 4

Generally, you put the independent variable on the x axis, this is the variable

The variable that is changed or manipulated in an experiment. You're manipulating the time spent on the phone, to see how that impacts your cost (the dependent variable (The variable that is measured in response to changes in the independent variable) placed on the y-axis, which is generally put on the Y axis. The only other thing to be aware of is if you know anything about where or how to place the 'origin' (which is the point at (0,0). sometimes you know, or are told that a certain value happens at "0" on one of the axis.

That should help you graph anything!

Answer 5

You will need: graph paper, pencil, and straightedge (ie. ruler)

1. Before making the graph, you must identify at least three points to plot on the graph. To do this, use the formula provided: C = 0.05m + 20 where C = the cost, 0.05 = cost per minute, m = the number of minutes of phone use, and 20 = standard fee for phone use. Set up a 4-column table, and identify m (the number of minutes), substitute the number in for m, calculate the cost, and list the ordered pair.

m 0.05m + 20 = C (m,C)

5 0.05(5) + 20 20.25 (5, 20.25)

10 0.05(10) + 20 20.50 (10, 20.50)

20 0.05(20) + 20 21.00 (20, 21.00)

2. Using graph paper, make an L-shaped graph with the horizontal line (x-axis) that will serve as the

minutes (m) axis, the vertical line (y-axis) that will serve as the cost (C) axis, and where the two lines

intersect is the 0 (the origin).

a. On the m-axis, mark the equidistance vertical lines in 5-minute increments, starting with 0 and

going out to at least 50, and be sure to put an arrow at the end of the m-axis to indicate more

minutes could be added if they were given. Write this label under the m-axis: "Number of Minutes

of Phone Use"

b. On the C-axis, mark the equidistance horizontal lines in 0.25 increments, with the first line above

the origin (0) being 20.00, 20.25, 20.50, and so on to at least 22.00, and put an arrow at the end

of the C-axis to indicate higher costs could be added if they were provided. write this label

alongside the C-axis: "Cost of Phone Use" (in dollars)

c. At the top of the graph, write the title: "Cost of Phone Usage"

3. Once the graph is drawn, you need to plot the points, using the ordered pairs (m,C) from your table. To

plot the first point (5, 20.25), you will start at the origin (0), move horizontally right to the 5-minute mark,

from there move vertically up to the 20.25 mark, and make a large dot. Repeat the process to plot the

other two ordered pairs, (10, 20.50) and (20, 21.00)

4. Once you have plotted the three ordered pairs, take the straightedge (or ruler), and line it up so the three

points are connected. Draw the line to connect the three dots, beginning at the origin and extending

(extrapolating) it beyond the third point. Place an arrow at the end of the extended line. Label the line

by writing the formula (C = 0.05m + 20) just below the line you've drawn.

Hope this is helpful,

thelma

Answer 6

Cost = total charges

C unknown; $20 is a constant fee no matter how many minute you use.

0.05x represents your cost per minute used

Cost depends on the number of minutes you talk

Time almost always is on the x axis

Total cost with be on the y axis

This is a liner equation

C = .05x + 20; x is number of minutes talking

Graph in Desmos adding different minutes for x

Then you can clearly see how to scale your graph and draw your own.

Answer 7

Hi, Sidney,

First, you need a line that goes across and another line that goes up and down, like an L shape.

The line going up is for C, the cost.

The line going across is for m, the minutes. Where they come together is 0 (zero) for both of them.

If you can draw this on graph paper, it makes this much easier.

Next, look at what you get for C, the cost, when m is 0, 5, 10, or 15 minutes.

C = .05 (0) + 20 or 0 +20 or $20 for 0 minutes

C = .05 (5) + 20 or .25 + 20 or $20.25 for 5 minutes.

C = .05 (10) + 20 or .50 + 20 or $20.50 for 10 minutes

C = .05 (15) + 20 or .75 + 20 or $20.75 for 15 minutes

To graph this, put a dot on the C line for $20. Put three more marks above that for the amounts $20.25, $20.50 and $20.75. Make the distance between each mark the same.

On the m line, put marks for 5, 10, and 15. Make the distance between each mark the same.

From the 5 mark, go straight up to the place across from $20.25 and put another dot. Then go to the 10 mark on the m line and go straight up to the place across from the $20.50 and put a dot. Then go to the 15 mark on the m line and go straight up to the place across from the $20.75 and put a dot.

Connecting your four dots with a ruler will give you a graph of the cost. If the marks on the m and C lines are the same distance apart, it will give you a straight line when you connect the dots.

I hope this helps!

Best, Karen

Answer 8

I hope you did well with your graph. I'm entering the following explanation for those who might still benefit from your question:

Your graph will look like a large L shape. As you go up the left side, put higher dollar amounts to measure as your monthly cost increases from the 20 dollar minimum. Your number of minutes will start at zero at bottom left and will increase as you go from left to right across the bottom.

What increments should you use to label your dollar amounts for cost going vertically on the left and the number of minutes across the bottom? If you figure that your phone bill is monthly and that you'll use your phone for a minimum of about 500 minutes to 1000 minutes or so per month (just to use a range of round numbers in terms of your monthly minutes), then use increments of 100 for minutes across the bottom. Starting at about 400 and increase by 100 all the way to 1200 to 1500, depending on how many monthly minutes you want to measure. Use the 20 dollars minimum for your cost at the bottom left of your graph. Use your formula: C = 0.05m + 20 to determine about how many dollars you will need in your range on your graph: 0.05(500 minutes) + 20 = $25 + $20 = $45. 0.05(1500 minutes) + 20 = $75 + $20 = $95. This means that you could label your dollar increments (up the left side of graph) as follows: $20, $30; $40; $50; $60; $70; $80; $90; $100. Label your minutes across the bottom starting at the left as follows: 400 minutes; 600; 800; 1000; 1200; 1400; 1600. To graph the first example I gave above, graph the 500 minutes by finding (across the bottom where it is half way between the 400 and the 600) and mark that spot at the bottom. Then graph the resulting dollar amount from where we used the figure of 500 minutes that we plugged into your formula/equation: 0.05(500 minutes) + 20 = $25 + $20 = $45. Starting from the bottom left side, go up until you are half way between the $40 and $50 to mark the spot for $45. Draw a very light or invisible or dotted line straight across from the $45 spot until you come the spot that is directly (straight) above where you marked the spot for the 500 minutes. If you want/need to construct a vertical bar graph, for example, then draw your bar upward from the spot where you marked it for 500 minutes and stop when you reach up to the spot that corresponds to the $45 that you marked on the left. In this instance, make sure that the width of the bar is centered on the spot that marks the 500 minutes.

It is very important to know whether your instructor or teacher has any specific requirements as to what type of graph (bar graph, line graph, or other type of graph) or any other specific guidelines or instructions (such as whether it is to be a bar graph that must be vertical, or pencil, or specific colors in marker) that pertains to your particular assignment for constructing your graph.

Have a great day and a great summer.