Final answer:
To find the distance Jerrod's bike will travel in 100 rotations, calculate the tire's circumference and then multiply by the number of rotations, resulting in 680 feet traveled.
Step-by-step explanation:
To calculate the distance Jerrod's mountain bike will travel in 100 rotations of its tires, we can use the formula for the circumference of a circle (C = πd), where 'd' is the diameter of the tire. Jerrod's bike has a tire diameter of 26 inches.
First, we find the circumference of one tire:
C = πd
C = π × 26 inches
C = 81.68 inches (assuming π is approximately 3.14)
Next, we multiply the circumference by the number of rotations to find the total distance traveled:
Distance = C × number of rotations
Distance = 81.68 inches × 100
Distance = 8168 inches
Now, if we want the distance in feet, we convert inches to feet (there are 12 inches in a foot):
Distance in feet = 8168 inches × (1 foot / 12 inches)
Distance in feet = 680 feet
Therefore, Jerrod's bike will travel 680 feet in 100 rotations of its tires.