Question
Last year, a streaming service charged
$
8
per movie rental. This year, they still charge
$
8
per rental but added a one-time membership fee of
$
15
.
Let
y
represent the total cost and
x
represent the number of movies rented.
How do the slopes of the total cost equations for last year and this year compare?
A.
The slopes are the same because the cost per movie is still
$
8
.
B.
The slope is lower this year because fewer movies will be rented.
C.
The slope is higher this year because of the extra
$
15
membership fee.
D.
The slopes cannot be compared because last year's equation has no slope.
$
8
per movie rental. This year, they still charge
$
8
per rental but added a one-time membership fee of
$
15
.
Let
y
represent the total cost and
x
represent the number of movies rented.
How do the slopes of the total cost equations for last year and this year compare?
A.
The slopes are the same because the cost per movie is still
$
8
.
B.
The slope is lower this year because fewer movies will be rented.
C.
The slope is higher this year because of the extra
$
15
membership fee.
D.
The slopes cannot be compared because last year's equation has no slope.
Answers
GPT-5 mini
A. The slopes are the same because both years charge $8 per movie. Last year: y = 8x (slope 8). This year: y = 8x + 15 (slope 8). The $15 is a y-intercept, not a change in slope.