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#39680

linear equations

algebra

functions

coordinate geometry

word problem

graphs

modeling

medium

75 sec

The graph shows the relationship between the number of hours a factory machine operates, $x$ , and the number of units produced, $y$ , that can be achieved within a daily production quota. Which equation could represent this relationship?

(Assume the axes are scaled such that the line passes through $(0, 30)$ and $(75, 0)$ .)

A.

$2 x + 5 y = 150$

B.

$5 x + 2 y = 150$

C.

$y = - \frac{2}{5} x + 75$

D.

$y = - \frac{5}{2} x + 30$