5. Alondra is training for a 5-mile race. The table below shows how many strides Alondra takes as she builds up to running 5 miles. How many strides will Alondra take to run 4 miles?

Exercise Log
\begin{tabular}{|c|c|c|c|c|}
\hline Miles & 1 & 2 & 4 & 5 \\
\hline Strides & 2,640 & 5,280 & [tex]$\square$[/tex] & 13,200 \\
\hline
\end{tabular}

A. 7,920
B. 9,240
C. 10,560
D. 10,660



Answer :

To determine how many strides Alondra will take to run 4 miles, we can start by examining the given information and identifying a pattern.

First, let's look at the number of strides she takes for the given distances:

1. For 1 mile, she takes 2,640 strides.
2. For 2 miles, she takes 5,280 strides.
3. For 5 miles, she takes 13,200 strides.

We can observe that:

- The number of strides for 2 miles is exactly double the number of strides for 1 mile.
- The number of strides for 5 miles can be verified by multiplying the number of strides for 1 mile by 5.

To find the number of strides for 4 miles, we need to understand the relationship between the miles and strides:
- 1 mile: 2,640 strides
- This means that the number of strides per mile is constant, i.e., 2,640 strides per mile.

Now to find the number of strides for 4 miles:

- Multiply the number of strides per mile by 4:
[tex]\[ 4 \, \text{miles} \times 2,640 \, \text{strides/mile} = 10,560 \, \text{strides} \][/tex]

So, Alondra will take [tex]\(10,560\)[/tex] strides to run 4 miles.

Hence, the correct answer is:
(C) 10,560