Solve The diameter of a bicycle wheel is 27 in. How many revolutions does the wheel make when the bicycle travels 100 ft?

The perimeter (circumference) of the wheel is:

P

=

2

π

r

=

π

d

=

π

(

27

)

=

27

π

in

This is also the distance the bicycle travels with each revolution of the wheel.

To figure out the number of revolutions of the wheel over a distance of

10

miles, we convert the

10

miles to inches and divide it by

P

:

1

mile

=

63360

inches

10

(

63360

)

=

633600

inches

R

P

H

=

633600

27

π

(this is the number of revolutions in one hour)

We divide this by

60

to get the number of revolutions per minutes or

R

P

M

:

R

P

M

=

633600

27

π

60

=

(

633600

27

π

)

(

1

60

)

=

10560

27

π

=

10560

84.823

=

124.49

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.