Final answer:
By subtracting the base charge of $70 from the total bill of $158.75 and dividing by the per-mile charge of $0.25, we calculate that the number of miles driven is 355, which does not match any provided option. Assuming there's a typo, the closest is 316 miles (Option C).
Step-by-step explanation:
The rental truck company's billing includes a base rate and a per-mile charge. The total bill is $158.75, and we know the base rate is $70. To calculate the miles driven, we subtract the base rate from the total bill and then divide by the per-mile charge.
Total bill = Base rate + (Per-mile charge × Number of miles driven)
$158.75 = $70 + ($0.25 × Number of miles driven)
Number of miles driven = ($158.75 - $70) / $0.25
Now let's do the math:
Number of miles driven = ($88.75) / $0.25
Number of miles driven = 355 miles
This result doesn't match any of the options provided, but we will proceed assuming there might be a typo in the options. To fit the closest option:
Number of miles driven = 316 miles (Option C)