Question

graph a -- saltwater pool
graph b -- chlorine pool
if the family plans to move to their retirement home in 10 years, which pool would be more cost effective to install?
how do you know?
○ the chlorine pool is more cost effective because the y - value at 10 years is less on graph b than it is on graph a.
○ the saltwater pool is more cost effective because the y - value at 10 years is less on graph a than it is on graph b.
○ they would be equally cost effective because the vertical asymptotes for each graph are the same.
○ they would be equally cost effective because the horizontal asymptotes for each graph are the same.

Explanation:

To determine cost-effectiveness at 10 years, compare the y-values (total costs) of both graphs at \(x=10\). Graph A (saltwater pool) has a lower y-value than Graph B (chlorine pool) at the 10-year mark, meaning its total cost is lower.

Answer:

The saltwater pool is more cost effective because the y-value at 10 years is less on graph A than it is on graph B.