Tenesha bikes 8 miles each day, so she is going to need X days to complete the challenge. X can be calculated as:
[tex]X=\frac{100miles}{8}=12.5\text{ days}[/tex]Then, she goes to school 5 days every week and there is a day in which she can't bike, so she bikes just 4 days per week.
Therefore, the number of weeks Y that Tenesha needs to complete the challenge can be calculated using a rule of three as:
4 days ------------- 1 week
12.5 days ---------- Y
Solving for Y, we get:
[tex]Y=\frac{1\text{ week}\cdot12.5\text{ days}}{4\text{ days}}=3.125\text{ weeks}[/tex]Answer: she needs 3.125 weeks to complete the challenge