I need help to finish my math study guide

Question

Utilize the table of values to answer the following questions

x (number of hours) 1 2 3 4

y (earnings in dollars) 8 20 32 44

Part A: Make the equation in y=mx+b form to represent this table. Then use the equation to determine the number of hours it will take to earn 68 dollars.

Part B: Determine if the relationship between hours and dollars is a function or not.

Part C: Determine if the relationship between hours and dollars is linear or nonlinear.

Answer 1

Hello Iris,

I will 'help' you, but not give the final answers. :)

X Y

1 8

2 20

3 32

4 44

A. To write an equation in y = mx + b we need the common difference (the amount the dollars increase each hour) which is m, and the amount for zero hours, which is b. Find m by noticing how much the dollar amount goes up for each increase in 1 hour. Find b by adding one row to the table with x = 0 and y = _____.

To find the amount of hours needed to earn $68, set y = 68 in your equation and solve for x.

B. Is this a function? If you are given a number of hours, can you find the dollar amount without confusion? That is, if I ask how many dollars for 3 hours, is it obvious from the table what the answer is? As long as there isn't two different dollar amounts for a given number of hours, then it |S a function.

C. Is it linear? That means that if you plotted the pairs in the table on a graph, they would line up straight. You can tell without plotting the graph as well. if the numbers in the x column always change by the same amount, and the numbers in the y column always change by the same amount, they will line up straight when plotted.

If you still have questions, come back here and ask.