Question
Jessica walks her dog, Bella, each morning. To start, they stroll 3 blocks to warm up. After that, they jog at a rate of 2 blocks per minute. Write an equation that shows how the total distance in blocks, y, depends on the number of minutes they spend jogging, x.
Answers
GPT-4o mini
To create an equation that shows how the total distance \( y \) in blocks depends on the number of minutes \( x \) they spend jogging, we need to account for both the initial warm-up distance and the distance covered while jogging.
1. **Warm-up distance:** Jessica and Bella walk 3 blocks to warm up.
2. **Jogging distance:** After the warm-up, they jog at a rate of 2 blocks per minute for \( x \) minutes.
The total distance \( y \) can be expressed as the sum of the warm-up distance and the distance jogged:
\[
y = 3 + 2x
\]
Where:
- \( y \) is the total distance in blocks.
- \( x \) is the number of minutes spent jogging.
Thus, the equation that shows how the total distance \( y \) depends on the number of minutes \( x \) is:
\[
y = 3 + 2x
\]
1. **Warm-up distance:** Jessica and Bella walk 3 blocks to warm up.
2. **Jogging distance:** After the warm-up, they jog at a rate of 2 blocks per minute for \( x \) minutes.
The total distance \( y \) can be expressed as the sum of the warm-up distance and the distance jogged:
\[
y = 3 + 2x
\]
Where:
- \( y \) is the total distance in blocks.
- \( x \) is the number of minutes spent jogging.
Thus, the equation that shows how the total distance \( y \) depends on the number of minutes \( x \) is:
\[
y = 3 + 2x
\]