Question
Jamar wants to ride his bicycle 34.8 miles this week. He has already ridden 16 miles. If he rides for 4 more days, which equation or tape diagram could be used to represent the context if mm represents the average number of miles he would have to ride to meet his goal?
Answers
GPT-4o mini
To determine how many miles Jamar needs to ride over the next 4 days to meet his goal, we can start by calculating how many more miles he needs to ride.
1. **Find the remaining miles to ride**:
Jamar's goal is 34.8 miles and he has already ridden 16 miles.
\[
\text{Remaining miles} = \text{Total goal} - \text{Miles ridden} = 34.8 - 16 = 18.8 \text{ miles}
\]
2. **Calculate the average miles per day for the next 4 days**:
To find the average number of miles (mm) Jamar needs to ride each day for the next 4 days, we can set up the equation:
\[
mm \times 4 = 18.8
\]
Dividing both sides by 4 will give us the average miles he needs to ride each day:
\[
mm = \frac{18.8}{4}
\]
So, an equation that represents this situation is:
\[
mm = \frac{34.8 - 16}{4}
\]
For a tape diagram, you can visually represent this situation using 4 equal sections (for the 4 days) that together total to 18.8 miles, indicating that each section represents mm, the average miles Jamar needs to ride each day.
1. **Find the remaining miles to ride**:
Jamar's goal is 34.8 miles and he has already ridden 16 miles.
\[
\text{Remaining miles} = \text{Total goal} - \text{Miles ridden} = 34.8 - 16 = 18.8 \text{ miles}
\]
2. **Calculate the average miles per day for the next 4 days**:
To find the average number of miles (mm) Jamar needs to ride each day for the next 4 days, we can set up the equation:
\[
mm \times 4 = 18.8
\]
Dividing both sides by 4 will give us the average miles he needs to ride each day:
\[
mm = \frac{18.8}{4}
\]
So, an equation that represents this situation is:
\[
mm = \frac{34.8 - 16}{4}
\]
For a tape diagram, you can visually represent this situation using 4 equal sections (for the 4 days) that together total to 18.8 miles, indicating that each section represents mm, the average miles Jamar needs to ride each day.