Question

part b
how far does tomas bike in 6 days?
$1\frac{1}{4}$ miles
$7\frac{1}{2}$ miles
$2\frac{3}{4}$ m
$3\frac{3}{4}$ m

Explanation:

Step1: Assume daily biking distance

Assume Tomas bikes \(1\frac{1}{4}\) miles per day (since the first option is a daily - like distance, and we need to find for 6 days). Convert \(1\frac{1}{4}\) to improper fraction: \(1\frac{1}{4}=\frac{1\times4 + 1}{4}=\frac{5}{4}\) miles per day.

Step2: Calculate distance for 6 days

To find the distance for 6 days, we multiply the daily distance by 6. So the distance \(d = 6\times\frac{5}{4}\)

Simplify the multiplication: \(6\times\frac{5}{4}=\frac{30}{4}=\frac{15}{2}=7\frac{1}{2}\) miles.

Answer:

\(7\frac{1}{2}\) miles (corresponding to the option \(7\frac{1}{2}\) miles)