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Answer :
Final answer:
The cost of renting a vehicle for two days with a total distance of 110 kilometres is $93.20. The customer has driven approximately 291.67 kilometres for a one-day rental with a charge of $75.
Explanation:
To calculate the cost of renting a vehicle, we need to consider the number of days and the distance travelled. Let's solve each part of the question:
(a) Cost of renting a vehicle for two days with a total distance of 110 kilometres:
To calculate the cost, we multiply the number of days by the daily rate and add the product of the distance travelled and the cost per kilometre:
Cost = (Number of days * Daily rate) + (Distance travelled * Cost per kilometre)
Cost = (2 * $40) + (110 * $0.12)
Cost = $80 + $13.20
Cost = $93.20
Therefore, the cost of renting a vehicle for two days with a total distance of 110 kilometres is $93.20.
(b) Distance travelled for a one-day rental with a charge of $75:
To find the distance travelled, we need to subtract the daily rate from the total charge and divide the result by the cost per kilometre:
Distance travelled = (Charge for one-day rental - Daily rate) / Cost per kilometre
Distance travelled = ($75 - $40) / $0.12
Distance travelled = $35 / $0.12
Distance travelled ≈ 291.67 kilometres
Therefore, the customer has driven approximately 291.67 kilometres for a one-day rental with a charge of $75.
Learn more about calculating the cost of renting a vehicle based on the number of days and distance travelled here:
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