Question

topic 2a test (proportional relationships)
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
miles 1 2 4 5
strides 2,640 5,280 13,200
7,920
9,240
10,560
10,660

Explanation:

Step1: Find the unit rate

The unit rate (strides per mile) is found by dividing the number of strides by the number of miles. For example, when miles \(m = 1\), strides \(s=2640\). The unit - rate \(k=\frac{s}{m}\). Since \(k=\frac{2640}{1}=2640\) strides per mile (we can also check with \(m = 2\), \(s = 5280\), and \(\frac{5280}{2}=2640\); with \(m = 5\), \(s = 13200\), and \(\frac{13200}{5}=2640\)).

Step2: Calculate the number of strides for 4 miles

We use the formula \(s=k\times m\). Given \(k = 2640\) (strides per mile) and \(m = 4\) miles. Then \(s=2640\times4\).

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Answer:

\(10,560\) (the third option)