a 1.5 - gallon - per - minute aerator can save up to $125 per year. a shower head, containing this aerator…

a 1.5 - gallon - per - minute aerator can save up to $125 per year. a shower head, containing this aerator, was bought for $8.16. assuming savings of $125 per year, how long will it take to break even on the purchase? it will take about days to break even on the purchase. (round up to the nearest whole number.)
Answer
Explanation:
Step1: Calculate daily savings
The annual savings is $125. There are 365 days in a year. So the daily savings is $\frac{125}{365}\approx0.3425$ dollars per day.
Step2: Calculate break - even days
The cost of the shower - head with aerator is $8.16$. To find the number of days to break even, we divide the cost by the daily savings. Let $d$ be the number of days. Then $d=\frac{8.16}{0.3425}\approx23.82$.
Step3: Round up
We need to round up to the nearest whole number. So $d = 24$.
Answer:
24