Question

the table below shows the different times it takes paula to drive to her grandmothers house depending on the rate at which she drives.

rate vs. time
rate (mph): 30, 40, 50, 60
time (h): 2.5, 1.875, 1.5, 1.25

if one day paula rides a scooter to her grandmothers house at a constant rate of 24 miles per hour, how long should it take her?

2.625 hours
2.75 hours
3.125 hours
3.75 hours

Explanation:

Calculate the constant distance

$$ d = r \cdot t = 30 \cdot 2.5 = 75\text{ miles} $$

Verify the relationship with other data points

$$
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$$

Solve for the time at 24 mph

$$ t = \frac{d}{r} = \frac{75}{24} = 3.125\text{ hours} $$

Answer:

• 2.625 hours
• 2.75 hours
• 3.125 hours (Correct answer)
• 3.75 hours