The distance max's bike moves is directly proportional to how many rotations his bike's crank shaft has
made. if max's bike moves 25 feet after two rotations, how many feet will the bike move after 15 rotations?

187.5 feet

Step-by-step explanation:

we know that

Max's bike moves 25 feet after two rotations

so

using proportion

Find out how many feet will the bike move after 15 rotations

Let

x ----> the distance in feet

Max's bike after 15 rotations will move:

Step-by-step explanation:

Since the exercise provides the information that after 2 rotations the bike moves 25 feet, you must divide that distance by the number of rotations to obtain the distance traveled per rotation:

Having the distance for each rotation made, you only have to multiply this value by the total number of rotations (15):

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2