1. A driver is initially 270 miles from home, travelling toward home on a straight interstate at 72 miles per hour a. Let x represent the number of hours driving. What is the distance the driver travels as he heads towards home? b. Draw a diagram to represent this situation. In your picture make sure to show and label all quantities. c. Use the information above to write a formula or a function D(x) that models the distance between the driver and home after x hours.

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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1. A driver is initially 270 miles from home, travelling toward home on a straight interstate at 72
miles per hour
a. Let x represent the number of hours driving. What is the distance the driver travels as he heads
towards home?
b. Draw a diagram to represent this situation. In your picture make sure to show and label all
quantities.
c. Use the information above to write a formula or a function D(x) that models the distance between
the driver and home after x hours.
d. Give an appropriate domain for D(x).
e. Graph the function D(x)
f. Identify and interpret the x and y intercepts
Transcribed Image Text:1. A driver is initially 270 miles from home, travelling toward home on a straight interstate at 72 miles per hour a. Let x represent the number of hours driving. What is the distance the driver travels as he heads towards home? b. Draw a diagram to represent this situation. In your picture make sure to show and label all quantities. c. Use the information above to write a formula or a function D(x) that models the distance between the driver and home after x hours. d. Give an appropriate domain for D(x). e. Graph the function D(x) f. Identify and interpret the x and y intercepts
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