Question 906752
The base cost for company A is $17.50 with a daily cost of $2.25
The base cost for company B is $24.25 with a daily cost of $1.50
A = 17.5 + 2.25x (where x is the number of days)
B = 24.25 + 1.50x
You want to know when they'll be equal
17.5 + 2.25x = 24.25 + 1.5x
Subtract 1.5x from each side
17.5 + .75x = 24.25
Subtract 17.5 from each side
.75x = 6.75
Divide each side by .75
x = 9
On the 9th day, the cost will be the same.
Company A = 17.5 + (9*2.25) = $37.75
Company B = 24.25 + (9*1.50) = $37.75
Fewer than 9 days and Company A is the better deal.
More than 9 days and Company B is the better deal.