Question

A student is working two jobs over the summer to pay for a new car. The student gets paid $25 for each lawn that is mowed (x)and $15 for each pool that is cleaned (y). The student wants to earn $750 to pay for a down payment on a car. The equation that represents this relationship is 25x+15y=750.

Use the equation to identify the x-intercept.

Explain what the x-intercept means in the context of the problem. (write a sentence & use units)

Use the equation to identify the y-intercept.

Explain what y-intercept means in the context of the problem. (write a sentence & use units)

Use the equation to identify one other possible solution.

Explain what that solution means in the context of the problem. (write a sentence & use units)

Answer 1

Kindly check explanation

Explanation:

Given that:

The student gets paid $25 for each lawn that is mowed (x)

$15 for each pool that is cleaned (y). The student wants to earn $750.

The equation that represents this relationship is 25x+15y=750.

The x - intercept :

Value of x, when y =. 0

25x + 15(0) = 750

25x + 0 = 750

x = 750 / 25

x = 30

To earn 750, if no pools are cleaned, number of lawns to be mowed = 30

(30, 0)

Y - intercept :

Value of y when x = 0

25(0) + 15y = 750

0 + 15y = 750

y = 750 / 15

y = 50

To earn 750, if no lawns are mowed, number of pools to be cleaned = 50

(0, 50)