Question #de7ee

1 Answer
sente
Sep 28, 2016

Keith rented the bike for #8# hours.

Explanation:

Let #p# represent the price of a rental, and #h# represent the number of hours it was rented for. Then we can represent the model given as

#p = 7h + 18#

Keith paid #74# dollars for his rental, meaning we have #p = 74#. Our goal is to solve for #h#. Substituting our value for #p# into the above equation, we get

#74 = 7h + 18#

#=> 74 - 18 = 7h + 18 - 18#

#=> 56 = 7h#

#=> 56/7 = (7h)/7#

#=> 8 = h#

Thus Keith rented the bike for #8# hours.

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