Question

Carol is cross-country skiing. The table shows the distance she traveled after various numbers of minutes. What is the rate of change? Distance Carol Traveled while Cross-Country Skiing Minutes Distance Traveled (miles) 2 StartFraction 1 Over 6 Endfraction 3 StartFraction 17 Over 48 EndFraction 4 StartFraction 13 Over 24 EndFraction 5 StartFraction 35 Over 48 EndFraction 6 StartFraction 11 Over 12 EndFraction

Answer 1

it is 3/16 miles per minute

Explanation:

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Answer 2

3/16 miles/minute

Explanation:

A rate of change describes how an output quantity changes relative to the change in the input quantity.

Points given:

Input Output

2 1/6

3 17/48

4 13/24

5 35/48

6 11/12

Here input values describe the time in minutes from 2 to 6 and output values describe the distance in miles from 1/6 to 11/12

Calculating the rate of change using the first two pairs of input-output values

• Relative change = change in distance/change in time

• (17/48 - 1/6)/(3-2) = (17/48 - 8/48) /1 = 9/48 = 3/16 miles/minute

We will get the same result if we take any other ordered pair of input and output values.