Question
Peyton is earning money for a charity by running. He runs 1 and 1-fourth miles each day for 10 days. His goal is 12 miles. If he runs 12 miles or more, he earns $4 per mile. If he runs less than 12 miles, he earns $3 per mile.
Answers
GPT-4o mini
To find out how much Peyton will earn, we first need to calculate the total distance he runs over the 10 days.
Peyton runs \(1 \frac{1}{4}\) miles each day. To convert this to an improper fraction, we have:
\[
1 \frac{1}{4} = \frac{5}{4} \text{ miles}
\]
Now, let's calculate the total distance run over 10 days:
\[
\text{Total distance} = 10 \times \frac{5}{4} = \frac{50}{4} = 12.5 \text{ miles}
\]
Now, we compare this distance with his goal of 12 miles. Since 12.5 miles is greater than 12 miles, he qualifies for the higher earning rate of $4 per mile.
Next, we can calculate his total earnings:
\[
\text{Total earnings} = 12.5 \text{ miles} \times 4 \text{ dollars/mile} = 50 \text{ dollars}
\]
Thus, Peyton will earn **$50** for his charity efforts.
Peyton runs \(1 \frac{1}{4}\) miles each day. To convert this to an improper fraction, we have:
\[
1 \frac{1}{4} = \frac{5}{4} \text{ miles}
\]
Now, let's calculate the total distance run over 10 days:
\[
\text{Total distance} = 10 \times \frac{5}{4} = \frac{50}{4} = 12.5 \text{ miles}
\]
Now, we compare this distance with his goal of 12 miles. Since 12.5 miles is greater than 12 miles, he qualifies for the higher earning rate of $4 per mile.
Next, we can calculate his total earnings:
\[
\text{Total earnings} = 12.5 \text{ miles} \times 4 \text{ dollars/mile} = 50 \text{ dollars}
\]
Thus, Peyton will earn **$50** for his charity efforts.