A wheel on Greg's bicycle is 0.3 m in diameter. Greg races the bicycle for 31 m. How many times does the wheel turn as the bicycle travels this distance?

circumference of wheel = 2π(.3) m = .6π m

For 31 m, number of turns = 31/(.6π) = 16.446 times

To find out how many times the wheel turns as the bicycle travels a distance of 31 m, we need to calculate the circumference of the wheel and divide the distance traveled by this circumference.

The circumference of a circle can be calculated using the formula:

Circumference = π * Diameter

Given that the diameter of the wheel is 0.3 m, we can calculate the circumference as:

Circumference = π * 0.3 m

To find the number of times the wheel turns, we divide the distance traveled (31 m) by the circumference of the wheel:

Number of wheel turns = Distance traveled / Circumference of the wheel

Let's plug in the values and calculate:

Circumference = π * 0.3 m = 0.94248 m (rounded to 5 decimal places)

Number of wheel turns = 31 m / 0.94248 m = 32.88 (rounded to 2 decimal places)

Therefore, the wheel turns approximately 32.88 times as Greg races the bicycle for a distance of 31 m.