+956 A marathon runner drinks one bottle of sports drink for every 3 miles he runs, and the number of bottles he drinks as a function of the number of miles he runs can be described by the function B(m) = m/3. The cost of a bottle of sports drink is $1.25, and the cost in dollars of the sports drink that the runner consumes as a function of the number of bottles he drinks can be described by the function C(b) = 1.25b. If the runner runs 24 miles, how much does the sports drink he consumes cost?
a) $30
b) $3.75
c) $1.75
d) $10
+9479 B(m) = m/3 ...this means... number of bottles = m / 3
C(b) = 1.25b ...this means... cost = 1.25( number of bottles )
So... cost = 1.25( m / 3 )
cost = 1.25( 24 / 3 ) = 1.25( 8 ) = 10
+37146 The number of 3 mile 'sets' that he runs is 24/3 = 8 'sets' or 8 bottles of sports drink.
8 bottles x $1.25 / bottle = $10.00
