Question
A cable TV company charges $29 for the basic service plus $8 for each movie channel. Let y be the total cost in dollars of subscribing to cable TV, using x movie channels. Find the slope-intercept form of the equation.
Question content area bottom
Part 1
A.
y = 29x negative 8
B.
y = 8x plus 29
C.
y = 8x negative 29
D.
y = 29x plus 8
Question content area bottom
Part 1
A.
y = 29x negative 8
B.
y = 8x plus 29
C.
y = 8x negative 29
D.
y = 29x plus 8
Answers
GPT-4o mini
To find the slope-intercept form of the equation for the total cost \( y \) of subscribing to cable TV based on the number of movie channels \( x \), we can start by noting the components of the cost:
- The basic service costs $29 (this is the y-intercept).
- Each movie channel costs an additional $8 (this is the slope).
The slope-intercept form is given by the equation:
\[
y = mx + b
\]
where \( m \) is the slope and \( b \) is the y-intercept.
In this scenario:
- The slope \( m \) (the cost per movie channel) is \( 8 \).
- The y-intercept \( b \) (the cost of the basic service) is \( 29 \).
Putting it all together, the equation will be:
\[
y = 8x + 29
\]
Therefore, the correct answer is:
**B. \( y = 8x + 29 \)**.
- The basic service costs $29 (this is the y-intercept).
- Each movie channel costs an additional $8 (this is the slope).
The slope-intercept form is given by the equation:
\[
y = mx + b
\]
where \( m \) is the slope and \( b \) is the y-intercept.
In this scenario:
- The slope \( m \) (the cost per movie channel) is \( 8 \).
- The y-intercept \( b \) (the cost of the basic service) is \( 29 \).
Putting it all together, the equation will be:
\[
y = 8x + 29
\]
Therefore, the correct answer is:
**B. \( y = 8x + 29 \)**.