Question

student rode a bicycle fewer than 30 miles during a period of 5 days. The student rode 8 miles on Monday and m miles each day from Tuesday through Friday.



Which inequality represents all possible values of m?

Answer 1

To set up the inequality representing the total distance the student rode over the 5 days, we can organize the information as follows:

- Distance ridden on Monday: 8 miles
- Distance ridden from Tuesday to Friday: \(m\) miles each day for 4 days, which totals to \(4m\) miles.

The total distance ridden over the 5 days is then:

\[ 8 + 4m \]

Since the student rode fewer than 30 miles in total, we can express this as an inequality:

\[ 8 + 4m < 30 \]

To solve for \(m\), we can subtract 8 from both sides:

\[ 4m < 30 - 8 \]

\[ 4m < 22 \]

Now, we divide both sides by 4:

\[ m < \frac{22}{4} \]

\[ m < 5.5 \]

Thus, the inequality that represents all possible values of \(m\) is:

\[ m < 5.5 \]