The cost of a gym membership can be represented by 25 + 5x, where x is the number of visits to the gym.

Question

options:

The y-intercept is ___________. This means that _________

The slope is ___________. This means that ________

Answer 1

In the equation \( y = 25 + 5x \):

1. The y-intercept is 25. This means that if you do not visit the gym (i.e., when \( x = 0 \)), the cost of the gym membership is $25. This represents the fixed cost of the membership, which you pay regardless of the number of visits.

2. The slope is 5. This means that for each additional visit to the gym (i.e., for each increase of 1 in \( x \)), the cost increases by $5. This represents the variable cost associated with each gym visit.