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Find the average rate of change for the scenario provided [exact decimal or reduced fraction] and choose the appropriate units. 400+ 360 320 280 240 200 160 120 80 40 2 4 6 8 10 12 14 16 18 20 Gallons Avg. rate of change: Units: $ ft day hr day day hr $ ft mi gal ft gal mi Miles

Find the average rate of change for the scenario provided [exact decimal or reduced fraction] and choose the appropriate units. 400+ 360 320 280 240 200 160 120 80 40 2 4 6 8 10 12 14 16 18 20 Gallons Avg. rate of change: Units: $ ft day hr day day hr $ ft mi gal ft gal mi Miles

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.3: Linear Functions And Slope
Problem 105E
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**Task: Calculate the Average Rate of Change** **Instructions:** - Find the average rate of change for the scenario provided (provide the exact decimal or reduced fraction) and choose the appropriate units. **Graph Description:** - The graph is plotted with the x-axis labeled as "Gallons" ranging from 0 to 20. - The y-axis is labeled as "Miles" ranging from 0 to 400. - A straight line descends from the point (0, 320) to the point (12, 0). **Calculation:** - To calculate the average rate of change from (0, 320) to (12, 0): \[ \text{Average Rate of Change} = \frac{\text{Change in Miles}}{\text{Change in Gallons}} = \frac{0 - 320}{12 - 0} = \frac{-320}{12} = -\frac{80}{3} \] - This can be expressed as \(-26.\overline{6}\). **Units Selection:** - The correct unit from the options provided is \(\frac{\text{mi}}{\text{gal}}\). **Selected Unit:** - \(\frac{\text{mi}}{\text{gal}}\) (miles per gallon) is selected.
Transcribed Image Text:**Task: Calculate the Average Rate of Change** **Instructions:** - Find the average rate of change for the scenario provided (provide the exact decimal or reduced fraction) and choose the appropriate units. **Graph Description:** - The graph is plotted with the x-axis labeled as "Gallons" ranging from 0 to 20. - The y-axis is labeled as "Miles" ranging from 0 to 400. - A straight line descends from the point (0, 320) to the point (12, 0). **Calculation:** - To calculate the average rate of change from (0, 320) to (12, 0): \[ \text{Average Rate of Change} = \frac{\text{Change in Miles}}{\text{Change in Gallons}} = \frac{0 - 320}{12 - 0} = \frac{-320}{12} = -\frac{80}{3} \] - This can be expressed as \(-26.\overline{6}\). **Units Selection:** - The correct unit from the options provided is \(\frac{\text{mi}}{\text{gal}}\). **Selected Unit:** - \(\frac{\text{mi}}{\text{gal}}\) (miles per gallon) is selected.
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