Final answer:
To find the distance Marcus goes in one complete rotation of his bike tire, calculate the circumference of the tire using the formula Circumference = 2 * (pi) * radius. To find the distance in 40 rotations, multiply the distance in one rotation by 40.
Step-by-step explanation:
In order to find the distance that Marcus goes once his bike tire has completed one rotation, we need to calculate the circumference of the tire. The circumference can be found using the formula:
Circumference = 2 * (pi) * radius
Given that the diameter of the tire is 3 feet, the radius is half of the diameter, which is 1.5 feet. Substituting this value into the formula, we get:
Circumference = 2 * (pi) * 1.5 feet
Simplifying this, we get:
Circumference = 3 * (pi) feet
Therefore, Marcus travels a distance of 3 * (pi) feet once the tire has gone in one complete rotation.
To find the distance the bike travels in 40 complete rotations, we can multiply the distance traveled in one rotation by 40:
Distance traveled in 40 rotations = 40 * (3 * (pi)) feet
Simplifying this, we get:
Distance traveled in 40 rotations = 120 * (pi) feet
Therefore, Marcus travels a distance of 120 * (pi) feet in 40 complete rotations.