Final answer:
The task involves determining the number of miles Tierra biked using a proportional relationship between money raised and miles biked. After calculation, the correct number of miles is found to be 105, but this is not listed as an option. Therefore, there seems to be a discrepancy with the provided options or an error in the question's details.
Step-by-step explanation:
The question asks us to find out how many miles Tierra rode in a bike-a-thon given that her sponsors donated $7 for every 5 miles she biked, and in total, she raised $147. To solve this, we can set up a proportion where the number of miles is directly proportional to the amount of money raised. Therefore, if $7 corresponds to 5 miles, $147 will correspond to 'x' miles. The proportion is $7/5 miles = $147/x miles.
We can solve for 'x' by cross-multiplying and dividing as follows: x = ($147 × 5 miles) / $7 = 735 miles / $7 = 105 miles. This result, however, is not listed in the options, which suggests there might have been a mistake in the calculation or understanding the question. Reviewing the calculation shows that the actual division should be 147 / 7 = 21, and then multiplying by 5 to find the miles. This gives us 21 × 5 = 105 miles, which confirms the initial calculation. As the options do not include 105 miles, we must conclude that there is an error in the given options or in the provided information.
Given this discrepancy, it's important to ensure that all information presented is accurate and double-checked before submitting an answer. If the student was provided with these options and asked to choose the correct one, they would be unable to find the correct answer based on the given procedure.