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14 February, 03:31

Consider the linear function f (x) = 2x + 1. Describe two real-world situations that you can model using this function.

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  1. 14 February, 03:49
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    A babysitter charges $2 per hour and an extra $1 for working after 6 pm.

    the total cost (c) of hiring the babysitter for x hours after 6 pm = (cost per hour * number of hours x) + extra cost for after 6 pm

    c = 2x + 1

    c = f (x) = 2x + 1

    A garage charges $2 per minute for a car wash plus $1 for the supplies.

    total cost of a car wash for x minutes = cost of car wash * number of minutes + cost of supplies

    c = 2x + 1

    c = f (x) = 2x + 1

    The cost of renting a bicycle is $2 per hour. The person renting the bicycle also needs to pay a service fee of $1.

    the total cost (c) of renting the bicycle for x hours = rent per hour * x + service fee

    c = 2x + 1

    c = f (x) = 2x + 1
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