A school is purchasing snacks for a summer program. The company charges $1.50 per snack plus a fixed delivery charge. There are 25 students who receive a snack. If the school spends $42.25, how much does the company charge for delivery?

Respuesta :

25 students X $1.50 = $37.50
$42.25 - $37.50 = $4.75
The company charged the school $4.75 for delivery

We want to find the y-intercept of the given linear relation, which tells us the fixed delivery charge. We will see that the fixed delivery charge is $4.75

The given information is:

A company charges $1.50 per snack plus a fixed delivery charge.

So the cost for x snacks is given by:

C(x) = $1.50*x + F

Where F is the fixed delivery charge.

We know that there are 25 students who receive a snack, and the cost was $42.25

Then we have that:

C(25) = $42.25

Then we can solve:

C(25) = $42.25 = $1.50*25 + F

         = $42.25 = $37.5 + F

         = $42.25 - $37.5 = F = $4.75

This means that the fixed delivery charge was $4.75

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