Arlo drove the car for 175 miles
equation: $75.49 = 29.99 + 0.26m
Step-by-step explanation:
Let the number of miles = m
The variable: m
Rental charge = $75.49
Initial charge = $29.99
charge per miles = $0.26 × number of miles = 0.26 × m = 0.26m
The equation:
Rental charge = initial charge + charge per miles
$75.49 = 29.99 + 0.26m
To solve for m, we need to collect like terms by subtracting 29.99 from both sides:
75.49 - 29.99 = 0.26m
45.5 = 0.26m
divide both sides by 0.26:
45.5/0.26 = 0.26m/0.26
m = 175
Hence, Arlo drove the car for 175 miles