He drove the truck for 189 miles.
Step-by-step explanation:
Base fee = $18.95
Let x be the miles.
Charges per mile = 73 cents = $0.73
Total payment = P = $156.92
According to given statement;
P(x)= 0.73x + 18.95
[tex]156.92=0.73x+18.95\\156.92-18.95=0.73x\\137.97=0.73x\\0.73x=137.97\\[/tex]
Dividing both sides by 0.73
[tex]\frac{0.73x}{0.73}=\frac{137.97}{0.73}\\x=189[/tex]
He drove the truck for 189 miles.
Keywords: addition, division
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