Final answer:
To find the number of rotations the tire will complete while driving the length of the driveway, divide the length of the driveway by the circumference of the tire.
Step-by-step explanation:
To find the number of rotations the tire will complete while driving the length of the driveway, we need to determine the circumference of the tire and divide the length of the driveway by the circumference of the tire. The circumference of a circle is given by the formula C = 2πr, where r is the radius of the circle.
In this case, the tire has a diameter of 2.5 feet, so the radius is half of that, or 1.25 feet. Plugging this into the formula, we get C = 2π(1.25) = 7.85 feet.
Now, we can divide the length of the driveway (20 feet) by the circumference of the tire (7.85 feet) to find the number of rotations. 20 / 7.85 ≈ 2.55 rotations.
Therefore, the tire will complete approximately 2.55 rotations while driving the length of the driveway.