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

Answer 1

Those two vendors charge the same flat rate for artwork.

Explanation: the y‑intercept is the cost when 0 shirts are ordered (the fixed/setup/artwork fee). Equal y‑intercepts mean the same flat charge; equal slopes would mean the same per‑shirt rate.