Jalixa A.
asked • 04/03/20Can someone help me with this?A video answering all these questions and explaining would help a lot.
Fancy Flower is a wholesaler that sells exotic flowers in 4-inch pots packaged in crates holding different numbers of pots. The table below represents the cost of four different sizes of crates that hold different numbers of 4-inch flower pots.
Graph a scatter plot of the data. Make sure you label the x and y axis. Predict the line that best represents the data shown in the table.
Determine the rate of change of the cost of a crate of 4-inch flower pots with respect to the number of 4-inch flower pots in the crate using the table and graph. Explain the process used to determine the rate of change for each representation.
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What does the rate of change represent in the problem situation?
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Determine a linear equation in two variables to represent the cost of the 4-inch flower pots, y, as a function of the number of 4-inch flower pots x.
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1 Expert Answer
If you plot these values with cost on the y axis and number of pots on the x axis you will get a straight line. The rate of change is change in y/ change in x. You can do this for each interval to be sure that the slope is constant. If you do this slope measurements you would get 7.3-6.1/ 3 = 0.4
8.9-7.2/ 4 =0.4
I will let do the last one.
So 0.4 or 40 cents is the cost for each increase in the number of flower pots
The equation in y = mx +b form is y =0.4x +b
You can solve for b by using any pair of points so 6.1=0.4(9) +b b =2.5 so $2.50 is the cost of the crate or any other one time charge
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John B.
If you plot the points, using # of pots on the y-axis and cost on the x-axis, you should get a straight line. You can verify this by figuring the slope of the line in different ways but always change of y over change of x. For instance. (7.30 - 6.10)/(12-3) = 1.2/3 = 0.4, or (8.90 -6.10)/(16-9)= 2.80/7 = 0.4. You should try other sets of points and see that you always get 0.40 as the slope. This is 0.40 $/pot since you are dividing, cost/pots. So the rate of change is the cost per number of pots, 0.40 $/pot. To find the linear equation in x and y, use an equation tool like y - y1 = m(x - x1). where m is the slope or rate of change and (x1, y1) is any point on the line. y - 6.10 = 0.40(x - 9). which can be simplified into y = 0.40 x + 2.50 You could also go down 0.40 and left 1 from (9, 6.10) until you hit the y-axis at 2.50. Then m = 0.40 and y-int is 2.50, so y = 0.40x + 2.50.04/11/20