Answer/Step-by-step explanation:
Equation to represent the daily rental cost for each type of truck can be written as follows:
Daily rental cost for Trucks-A-Lot = 42 + 0.72m
Daily rental cost for Move-in-Truckers = 70 + 0.12m
Where, m = Emily's mileage
To determine the number of miles for which the truck cost the same amount, set both equations equal to each other and solve for m.
[tex] 42 + 0.72m = 70 + 0.12m [/tex]
Collect like terms
[tex] 0.72m - 0.12m = 70 - 42 [/tex]
[tex] 0.6m = 28 [/tex]
Divide both sides by 0.6
[tex] \frac{0.6m}{0.6} = \frac{28}{0.6} [/tex]
[tex] m = 46.7 [/tex]
At approximately 47 miles, both trucks would cost the same amount.
Check:
Daily rental cost for Trucks-A-Lot = 42 + 0.72m
Plug in the value of x = 47
= 42 + 0.72(47) = $75.84 ≈ $76
Daily rental cost for Move-in-Truckers = 70 + 0.12m
Plug in the value of x = 47
= 70 + 0.12(47) = $75.64 ≈ $76
