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 tha

Question

(0, 5)
(0, 25)

The registration cost is $25

It cost $5 to per visit

25
5

Answer 1

Let's break down the given information based on the equation of the cost of a gym membership, represented by $C(x)=25+5x$, where $C(x)$ is the total cost and $x$ is the number of visits to the gym.

a) The y-intercept is ___.

The y-intercept of a linear equation is the value of $C(x)$ when $x=0$.

Setting $x=0$ in the equation:

$$C(0)=25+5(0)=25$$

So, the y-intercept is 25. This means that if a person does not visit the gym at all (0 visits), they will still have to pay a registration cost of $25.

b) The slope is ___.

The slope of the equation is the coefficient of $x$ in the linear equation. In this case, the slope is 5. This means that for each visit to the gym, the cost increases by $5.

Summary

• The y-intercept is 25. This means that the registration cost is $25 when there are no visits.
• The slope is 5. This means that it costs $5 for each visit to the gym.