The owner of a restaurant franchise pays the parent company a monthly fee of

$5163
plus
12
%
of sales.
(a) Write a linear model to compute the monthly payment,
y
, that the restaurant owner must pay the parent company for
x
dollars in sales.
(b) Use the equation from part(a) to compute the amount that the owner has to pay if monthly sales are
$10,700
.

1 answer

(a) The linear model to compute the monthly payment, y, that the restaurant owner must pay the parent company for x dollars in sales is: y = 0.12x + 5163

(b) To compute the amount that the owner has to pay if monthly sales are $10,700, we substitute x = 10700 into the equation from part (a):
y = 0.12(10700) + 5163
y = 1284 + 5163
y = 6447

Therefore, the owner has to pay $6,447 if the monthly sales are $10,700.