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 tha


(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.