At 5 p.m. Julie leaves home to go to the food store, Foodie, which is 3 miles from her home. She walks in a straight line from home to Foodie and at a constant speed. a) At 5: 15 p.m. Julie is 0.6 miles from home. How far is she from Foodie? b) At 5:30 p.m. how far is Julie from home? How far is she from Foodie? c) Let t denote the number of minutes since 5 p.m. Let d be the number of miles Julie is from home. If At = 15, what is Ad? If At = 30, what is Ad? d) How fast is Julie walking? Include units. e) Describe verbally the meaning of 3 - d in this context. f) Write an expression of d in terms of t.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
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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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At 5 p.m. Julie leaves home to go to the food store, Foodie, which is 3 miles from her home. She walks in a straight line from home to Foodie and at a constant speed.

a) At 5:15 p.m. Julie is 0.6 miles from home. How far is she from Foodie?

b) At 5:30 p.m. how far is Julie from home? How far is she from Foodie?

c) Let \( t \) denote the number of minutes since 5 p.m. Let \( d \) be the number of miles Julie is from home. If \( \Delta t = 15 \), what is \( \Delta d \)? If \( \Delta t = 30 \), what is \( \Delta d \)?

d) How fast is Julie walking? Include units.

e) Describe verbally the meaning of \( 3 - d \) in this context.

f) Write an expression of \( d \) in terms of \( t \).
Transcribed Image Text:At 5 p.m. Julie leaves home to go to the food store, Foodie, which is 3 miles from her home. She walks in a straight line from home to Foodie and at a constant speed. a) At 5:15 p.m. Julie is 0.6 miles from home. How far is she from Foodie? b) At 5:30 p.m. how far is Julie from home? How far is she from Foodie? c) Let \( t \) denote the number of minutes since 5 p.m. Let \( d \) be the number of miles Julie is from home. If \( \Delta t = 15 \), what is \( \Delta d \)? If \( \Delta t = 30 \), what is \( \Delta d \)? d) How fast is Julie walking? Include units. e) Describe verbally the meaning of \( 3 - d \) in this context. f) Write an expression of \( d \) in terms of \( t \).
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