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
.
(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.
(a) To write a linear model to compute the monthly payment, we need to consider two components: the fixed monthly fee and the percentage of sales.
The fixed monthly fee is $5163. This amount does not depend on the sales and remains constant.
The percentage of sales component is 12% of sales. To calculate this component, we multiply the sales amount by 0.12.
Therefore, the linear model can be expressed as:
y = 5163 + 0.12x
where y is the monthly payment and x is the amount in sales.
(b) To compute the amount that the owner has to pay if monthly sales are $10,700, we substitute x = 10,700 into the equation from part (a) and solve for y.
y = 5163 + 0.12 * 10700
y = 5163 + 1284
y = 6447
Therefore, if the monthly sales are $10,700, the owner has to pay $6447 to the parent company.
(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 = 5163 + 0.12x
The constant term, 5163, represents the fixed fee paid monthly to the parent company. The term 0.12x represents 12% of the sales, which is added to the fixed fee.
(b) To compute the amount that the owner has to pay if monthly sales are $10,700, substitute x = 10,700 into the equation:
y = 5163 + 0.12(10700)
y = 5163 + 1284
y = 6447
Therefore, the owner has to pay $6447 if the monthly sales are $10,700.