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# Amandie rented a car from Ace Car Rental Company?

which charges a flat fee of $15 plus an amount depending on the distance travelled. Patrick rented a car from Ms Swift Rental Company which charges $10 flat fee + an amount depending on distance travelled. At the end of trip, both paid $100 but Amandie travelled 55km and Patrick 60km

a) Write the equation of the cost line for both companies

b) The number of km after which the cost of hiring from Ace is the same as the cost of hiring from Ms Swift

HOW DO YOU WORK THIS OUT? I HAVE NO IDEA

### 1 Answer

- TBTLv 79 years agoFavorite Answer
a) for Amandie

100 = 15 + a * 55

a = 1.5454

the equation of the cost line for Ace Car Rental Company:

Cost = $15 + $ 1.5454 * number of km

answer

for Patrick

100 = 10 + b * 60

b = 1.5

the equation of the cost line for Ms Swift Rental Company:

Cost = $10 + $ 1.5 * number of km

answer

b) the cost of hiring from Ace is the same as the cost of hiring from Ms Swift

$15 + $ 1.5454 * number of km = $10 + $ 1.5 * number of km

$5 = [1.5 - 1.5454] * number of km

number of km = 110.1 km

answer

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