Final answer:
To find the correct tire circumference, double the spoke length to get the diameter (23 inches), then calculate the wheel's circumference using C = π*d, resulting in 72.22 inches. None of the provided options accurately match this measurement, suggesting a potential issue in the question or options.
Step-by-step explanation:
The student's question is about determining the correct tire circumference for Ashley's bike based on the length of one spoke, which is 11.5 inches. To solve this, we should recall that the diameter of the wheel can be found by doubling the length of the spoke because the spoke reaches from the center to the edge of the wheel. So, the diameter is 11.5 inches times 2, which equals 23 inches.
Now, to find the circumference (C), which is the distance around the wheel, we use the formula C = π*d, where π (pi) is approximately 3.14 and 'd' is the diameter. Therefore, C = 3.14 * 23 inches = 72.22 inches. Since the circumference of the entire wheel includes the tire, May needed to select a tire with a circumference that, when combined with the rim, would match this measurement.
However, none of the given options (36.1 inches, 35.3 inches, 41.2 inches, and 38.5 inches) are close to the measured circumference of the wheel, which seems to indicate an error in either the question's data or the options provided.