Question

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Compare the graph of Car A to the table of Car B, C & D to determine which car is traveling at the greatest speed.

Answer 1

A) Car A is traveling at the greatest speed.

Explanation:

Step 1:

For car A, we determine a value that coincides with both an x and a y value. (5, 150) is such a point.

So if car A travels 150 miles in 5 hours, car A covers 30 miles in an hour.

For car B,
`y =12.5 x,` where y is the distance in miles and x is the time taken.

If
`x=1, y = 12.5(1) = 12.5.` If
`x=2, y = 12.5(1) =25.`

So car B travels
`25 -12.5 =12 .5` miles every hour.

Step 2:

For car C,
`y =20 x,` where y is the distance in miles and x is the time taken.

If
`x=1, y = 20(1) = 20.` If
`x=2, y = 20(1) =40.`

So car C travels
`40 - 20 = 20` miles every hour.

For car D,
`y =25 x,` where y is the distance in miles and x is the time taken.

If
`x=1, y = 25(1) = 25.` If
`x=2, y = 25(1) =50.`

So car D travels
`50 -25 =25` miles every hour.

Step 3:

Car A travels at a speed of 30 miles per hour, Car B travels at a speed of 12.5 miles per hour, Car C travels at a speed of 40 miles per hour and Car D travels at a speed of 25 miles per hour.

So car A is traveling at the greatest speed which is option A.