Question

Marissa researched the cost to have custom T-shirts printed by several local and online vendors. She found that each store’s charge for the job could be modeled by a linear function that combined a flat charge for artwork with a per T-shirt rate. Marissa plotted the functions on a coordinate grid and found that two of the functions produced lines that had the same y-intercept. How should Marissa interpret this result?

A.Those two vendors charge the same rate per shirt.
B.Those two vendors charge the same flat rate for artwork.
C.Those two vendors will have the same total cost to produce one shirt.
D.Those two vendors will charge the same total cost for any size job.

Answer 1

b

Explanation:

because the slope represented the rate of change of the function

Answer 2

The correct answer is B. Those two vendors charge the same flat rate for artwork.

This is because the slope represents the rate of change of the function, or the rate per shirt, in this case. The y-intercept represents the flat rate for artwork, which can also be modeled as the cost of "0" shirts. This is the starting cost that will then be added to the rate that will change according to the number of t-shirts you buy.

Despite the same y-intercept, the total cost can change if the slope is different (this represents the rate per t-shirt) even if the same number of shirts are ordered (this eliminates options C and D).

Hope this helps!