Question

mr. hart recorded the ratio of the minutes spent driving to the miles driven while on a road trip.
which graph represents these pairs of values?
miles driven
number of
minutes
?
75
100
number of
miles
40
60
80
miles driven
number of miles
number of miles

Explanation:

Step1: Calculate the ratio

First, find the ratio of minutes to miles. For the pair \(75\) minutes and \(60\) miles, the ratio is \(\frac{75}{60}=\frac{5}{4}\).

Step2: Check the points on the graph

For the first graph:

• If \(y\) (miles) \( = 40\), then \(x\) (minutes) should be \(40\times\frac{5}{4} = 50\).
• If \(y=60\), \(x = 60\times\frac{5}{4}=75\).
• If \(y = 80\), \(x=80\times\frac{5}{4} = 100\).

For the second graph:

• If \(y = 40\), assume \(x\) (minutes) is calculated wrong.

Answer:

The first graph.