A botanist wants to plant certain types of oak trees and pine trees i…

Question

Prompt

A botanist wants to plant certain types of oak trees and pine trees in a

600

-foot-long row. Each of these oak trees requires

40

feet of space to grow, and each of these pine trees requires

30

feet of space to grow. The equation

40 x + 30 y = 600

models the possible number of oak trees,

x

, and pine trees,

y

, that the botanist can plant. Which graph represents this relationship?

Graph with intercepts

(15, 0)

and

(0, 20)

Graph with intercepts

(20, 0)

and

(0, 15)

Graph showing a positive slope

Graph with intercepts

(10, 0)

and

(0, 10)