Question

Aneil wants to plant tomato plants and lettuce plants in a 60-square-foot garden. The tomato plants take up 2 square feet, and the lettuce plants take up 3 square feet. The equation 2x + 3y = 60 describes the number of tomato plants, x, and lettuce plants, y, that Aneil can plant in the garden. Graph this function and find the intercepts. What does each intercept represent?

Answer 1

Explanation:

The more regular way of presenting such a graph is y = -2/3 x + 20

(Put the x on the right and made sure that the y has a coefficient of 1.)

Coefficient means the number in front of the letter (in this case).

x intercept = 30

(30,0)

y intercept = 20

(0,20)

The intercepts mean

The y intercept means the whole garden contains nothing but lettuce. (20)

The x intercept means the whole garden contains nothing but tomatoes.(30)