Question

6. Kiera is comparing the cost of two swimming pool memberships to determine which she will buy. Pool K charges a $30 membership fee plus $5 per visit. Pool M charges a $10 membership fee plus $10 for every two visits. Part A. For each pool, write an equation that represents C, the total cost for n visits. Identify the slope and intercept of each equation.

Answer 1

Pool K cost equation : 30 + 5V , Pool M cost equation : 10 + 10V

Pool K slope & intercept = 30 & 5 , Pool M slope & intercept = 10 & 10

Explanation:

Total cost [Pool] = Fixed (membership) cost + Variable cost (per visit)

Intercept is part at which equation line intersects x or y axis. In pools case, it is fixed (membership) cost. Slope is change in y due to change in x. In pools case, it is variable cost (per visit)

Pool K cost equation : 30 + 5V , Pool M cost equation : 10 + 10V

where V = number of visits.

Pool K slope & intercept = 30 & 5 , Pool M slope & intercept = 10 & 10