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
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F868b8534-4d89-4d63-908b-b662dc9aeef4%2F5f377acd-075b-47c3-aaac-0b756ef2a9e0%2Fsnx075_processed.jpeg&w=3840&q=75)
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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