Question
The cost of a gym membership can be represented by 25 + 5x, where x is the number of visits to the gym. (4 points)
a) The y-intercept is
. This means that
b) The slope is
. This means that
a) The y-intercept is
. This means that
b) The slope is
. This means that
Answers
GPT-4o mini
To analyze the cost of a gym membership represented by the equation \( y = 25 + 5x \), where \( y \) is the total cost and \( x \) is the number of visits, let's identify the y-intercept and the slope.
a) The y-intercept is \( 25 \). This means that if a person does not visit the gym at all (i.e., \( x = 0 \)), they will still have to pay a base fee of \( 25 \) dollars for their membership.
b) The slope is \( 5 \). This means that for every additional visit to the gym, the cost increases by \( 5 \) dollars. In other words, each visit to the gym adds \( 5 \) dollars to the total cost.
In summary:
- a) The y-intercept is \( 25 \). This means that there is a base membership cost.
- b) The slope is \( 5 \). This means that each visit to the gym costs an additional \( 5 \) dollars.
a) The y-intercept is \( 25 \). This means that if a person does not visit the gym at all (i.e., \( x = 0 \)), they will still have to pay a base fee of \( 25 \) dollars for their membership.
b) The slope is \( 5 \). This means that for every additional visit to the gym, the cost increases by \( 5 \) dollars. In other words, each visit to the gym adds \( 5 \) dollars to the total cost.
In summary:
- a) The y-intercept is \( 25 \). This means that there is a base membership cost.
- b) The slope is \( 5 \). This means that each visit to the gym costs an additional \( 5 \) dollars.