Anonymous
Anonymous asked in Science & MathematicsMathematics · 9 years ago

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

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  • TBT
    Lv 7
    9 years ago
    Favorite 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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