Question
Luca rode his bicycle 8 kilometers on Monday. On Tuesday, he rode his bicycle 20% farther than he rode on Monday. On Wednesday, he rode his bicycle 10% farther than he rode on Tuesday.
Complete the following prompts.
***Do not round the numbers.***
(3 points)
How many more kilometers did Luca ride his bicycle on Tuesday?
kilometers
How far did Luca ride his bicycle on Tuesday?
kilometers
How many more kilometers did Luca ride his bicycle on Wednesday?
kilometers
Question 2
How far did Luca ride his bicycle on Wednesday?(1 point)
Responses
8.3 kilometers
8.3 kilometers
9.68 kilometers
9.68 kilometers
10.4 kilometers
10.4 kilometers
10.56 kilometers
Complete the following prompts.
***Do not round the numbers.***
(3 points)
How many more kilometers did Luca ride his bicycle on Tuesday?
kilometers
How far did Luca ride his bicycle on Tuesday?
kilometers
How many more kilometers did Luca ride his bicycle on Wednesday?
kilometers
Question 2
How far did Luca ride his bicycle on Wednesday?(1 point)
Responses
8.3 kilometers
8.3 kilometers
9.68 kilometers
9.68 kilometers
10.4 kilometers
10.4 kilometers
10.56 kilometers
Answers
GPT-4o mini
Let's break down each day's ride:
1. On **Monday**, Luca rode his bicycle **8 kilometers**.
2. On **Tuesday**, he rode **20% farther** than he did on Monday:
\[
\text{Distance on Tuesday} = \text{Distance on Monday} + 0.20 \times \text{Distance on Monday} = 8 + 0.20 \times 8 = 8 + 1.6 = 9.6 \text{ kilometers}
\]
To find out how many more kilometers Luca rode on Tuesday compared to Monday:
\[
\text{More kilometers on Tuesday} = \text{Distance on Tuesday} - \text{Distance on Monday} = 9.6 - 8 = 1.6 \text{ kilometers}
\]
3. On **Wednesday**, he rode **10% farther** than he did on Tuesday:
\[
\text{Distance on Wednesday} = \text{Distance on Tuesday} + 0.10 \times \text{Distance on Tuesday} = 9.6 + 0.10 \times 9.6 = 9.6 + 0.96 = 10.56 \text{ kilometers}
\]
To find out how many more kilometers Luca rode on Wednesday compared to Tuesday:
\[
\text{More kilometers on Wednesday} = \text{Distance on Wednesday} - \text{Distance on Tuesday} = 10.56 - 9.6 = 0.96 \text{ kilometers}
\]
Now we can answer the prompts:
1. How many more kilometers did Luca ride his bicycle on Tuesday?
**1.6 kilometers**
2. How far did Luca ride his bicycle on Tuesday?
**9.6 kilometers**
3. How many more kilometers did Luca ride his bicycle on Wednesday?
**0.96 kilometers**
For Question 2, the choices for how far Luca rode his bicycle on Wednesday are:
- 8.3 kilometers
- 9.68 kilometers
- 10.4 kilometers
- 10.56 kilometers
The correct answer is:
**10.56 kilometers**.
1. On **Monday**, Luca rode his bicycle **8 kilometers**.
2. On **Tuesday**, he rode **20% farther** than he did on Monday:
\[
\text{Distance on Tuesday} = \text{Distance on Monday} + 0.20 \times \text{Distance on Monday} = 8 + 0.20 \times 8 = 8 + 1.6 = 9.6 \text{ kilometers}
\]
To find out how many more kilometers Luca rode on Tuesday compared to Monday:
\[
\text{More kilometers on Tuesday} = \text{Distance on Tuesday} - \text{Distance on Monday} = 9.6 - 8 = 1.6 \text{ kilometers}
\]
3. On **Wednesday**, he rode **10% farther** than he did on Tuesday:
\[
\text{Distance on Wednesday} = \text{Distance on Tuesday} + 0.10 \times \text{Distance on Tuesday} = 9.6 + 0.10 \times 9.6 = 9.6 + 0.96 = 10.56 \text{ kilometers}
\]
To find out how many more kilometers Luca rode on Wednesday compared to Tuesday:
\[
\text{More kilometers on Wednesday} = \text{Distance on Wednesday} - \text{Distance on Tuesday} = 10.56 - 9.6 = 0.96 \text{ kilometers}
\]
Now we can answer the prompts:
1. How many more kilometers did Luca ride his bicycle on Tuesday?
**1.6 kilometers**
2. How far did Luca ride his bicycle on Tuesday?
**9.6 kilometers**
3. How many more kilometers did Luca ride his bicycle on Wednesday?
**0.96 kilometers**
For Question 2, the choices for how far Luca rode his bicycle on Wednesday are:
- 8.3 kilometers
- 9.68 kilometers
- 10.4 kilometers
- 10.56 kilometers
The correct answer is:
**10.56 kilometers**.