Question

shay rides a bike at a constant speed. she rides 24 miles in 2 hours. the constant of proportionality is (\frac{1}{12}). this means that it takes (\frac{1}{12}) hour for shay to bike 1 mile. use this to find the number of hours it takes shay to bike 60 miles. (\begin{array}{|c|c|} hline \text{miles} & \text{hours} \\ hline 12 & xrightarrow{\times \frac{1}{12}} 1 \\ hline 36 & xrightarrow{\times \frac{1}{12}} 3 \\ hline 60 & square \\ hline end{array})

Explanation:

Step1: Identify the relationship

The time taken (in hours) to bike a certain number of miles is given by multiplying the number of miles by the constant of proportionality $\frac{1}{12}$.

Step2: Apply the formula

For 60 miles, the time $t$ is calculated as $t = 60\times\frac{1}{12}$.

Step3: Perform the calculation

Simplify $60\times\frac{1}{12}$. We can rewrite 60 as $\frac{60}{1}$, so $\frac{60}{1}\times\frac{1}{12}=\frac{60\times1}{1\times12}=\frac{60}{12} = 5$.

Answer:

5