Question
A cable TV company charges $27 for the basic service plus $6 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 = 6x negative 27
B.
y = 6x plus 27
C.
y = 27x plus 6
D.
y = 27x negative 6
Question content area bottom
Part 1
A.
y = 6x negative 27
B.
y = 6x plus 27
C.
y = 27x plus 6
D.
y = 27x negative 6
Answers
GPT-4o mini
To write the equation for the total cost \( y \) of subscribing to cable TV based on the number of movie channels \( x \), we can break it down as follows:
- The basic service costs $27.
- Each movie channel costs $6.
The total cost \( y \) can be expressed as:
\[
y = 6x + 27
\]
Where:
- \( 6x \) represents the total cost of the movie channels ($6 per channel multiplied by \( x \) movie channels).
- \( 27 \) is the fixed cost for the basic service.
Thus, the correct answer in slope-intercept form (which is \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept) is:
**B. \( y = 6x + 27 \)**.
- The basic service costs $27.
- Each movie channel costs $6.
The total cost \( y \) can be expressed as:
\[
y = 6x + 27
\]
Where:
- \( 6x \) represents the total cost of the movie channels ($6 per channel multiplied by \( x \) movie channels).
- \( 27 \) is the fixed cost for the basic service.
Thus, the correct answer in slope-intercept form (which is \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept) is:
**B. \( y = 6x + 27 \)**.