A mountain bike tire has a diameter of 26 inches. To the nearest foot, how far does the tire travel when it makes 32 revolutions?

C = pi * d

C = 3.14 * 26
C = 81.64 inches

(32 * 81.64) / 12 = ________ feet

To find out how far the tire travels when it makes 32 revolutions, we need to first determine the circumference of the tire, and then multiply it by the number of revolutions.

The circumference of a circle can be found using the formula: circumference = 2 * π * radius.

Since we're given the diameter of the mountain bike tire (26 inches), we need to find the radius by dividing the diameter by 2: radius = 26 inches / 2 = 13 inches.

Now we can calculate the circumference of the tire: circumference = 2 * π * 13 inches.

To find the distance the tire travels when it makes 32 revolutions, multiply the circumference by the number of revolutions: distance = circumference * 32 revolutions.

Now let's do the math:

circumference = 2 * π * 13 inches (approximately 81.64 inches)

distance = circumference * 32 revolutions = 81.64 inches * 32 revolutions.

To convert the distance from inches to feet, divide the result by 12 (since there are 12 inches in a foot): distance in feet = (81.64 inches * 32 revolutions) / 12.

Now we can calculate the final distance traveled by the tire.