Question

Matt is going to sign up for the "Fruit of the Month Club." He must pay a $25 enrollment fee, as well as $17 each month to continue his membership. He is going to stop receiving fruit once he has spent $280. Write the equation of this problem in Slope-Intercept form (hint: y=mx+b): How much as he spent on fruit after 5 months? In how many months until he has spent $280?

Answer 1

He spent on fruit after 5 months is $110.

In 15 months he spent $280.

Explanation:

Fixed pay for membership is $25

And enrollment fee is $17 for each month.

The equation represents this situation is

y= 17 x + 25

He is going to stop receiving fruits once he spent $280.

Now, to find how much he spent on fruit after 5 months is plugin x as 5 into

y=17x+25 for x

y=17(5)+25

y=85+25

y=110 dollars

Now, to find how many months until $280 is to plug in y as 280 then solve the equation for x.

280 = 17 x+25

Subtract both sides 25

255 =17 x

Divide both sides by 17

x= 15 months