ulian wants to ride his bicycle 20.6 miles this week. He has already ridden 8 miles. If he rides for 3 more days, write and solve an equation which can be used to determine xx, the average number of miles he would have to ride each day to meet his goal.

Question

Answer
Attempt 1 out of 2

Answer 1

To determine the average number of miles Julian needs to ride each day over the next 3 days to meet his goal of riding 20.6 miles, we can set up the equation as follows:

1. Let's denote \( x \) as the average number of miles Julian needs to ride each day for the next 3 days.
2. Julian has already ridden 8 miles, so the total distance he will ride after riding for 3 more days is:

\[ 8 + 3x \]

3. This total has to equal his goal of 20.6 miles, so we set up the equation:

\[ 8 + 3x = 20.6 \]

4. Now, we will solve for \( x \):

\[ 3x = 20.6 - 8 \] \[ 3x = 12.6 \] \[ x = \frac{12.6}{3} \] \[ x = 4.2 \]

Thus, Julian needs to ride an average of 4.2 miles per day for the next 3 days to meet his goal of 20.6 miles.