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27 August, 17:50

A water park charges a rental fee plus $1.50 per hour to rent inflatable rafts. The total cost to rent a raft for 6 hours is $15. Assume the relationship is linear. Find and interpret the rate of change and the initial value.

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  1. 27 August, 18:09
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    C = 6 + 1.5h.

    $6 is the fixed fee that the park charges.

    And $1.5 is the rate of charge per hour for rent of the raft.

    Step-by-step explanation:

    The water park charges a rental fee plus $1.5 per hour to rent inflatable rafts.

    Let the total charge (C) has a linear relationship with the number of hours (h) spent in the park and it is C = a + bh ... (1)

    Now, b is the rate of charge to rent inflatable rafts and b = $1.5 per hour.

    So, C = a + 1.5h ... (2)

    Now, given that the total cost to rent a raft for 6 hours is $15.

    So, from equation (2) we get,

    15 = a + 1.5 * 6

    ⇒ a = 6

    Therefore, the equation (2) becomes C = 6 + 1.5h.

    Here, $6 is the fixed fee that the park charges.

    And $1.5 is the rate of charge per hour for rent of the raft. (Answer)
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