Let's consider another example. Imagine a map of a state where 1 inch on the map represents a distance of 28 miles in actual distance on a road. If n represents the number of inches on the map and d represents the driving distance on the road (in miles): a. Define a formula to represent the distance on the road (in miles) d in terms of n, the number of inches measured on the map. d=28n(1) Preview b. If the longest driving distance across the state is 434 miles, what is the maximum length (in inches) from one side of the map to the other side of the map? 15.5 inches Preview c. Determine if the following statement is true or false. v The driving distance d (in miles) is a function of the number of inches measured on the True map, n. d. Recall that a function's domain describes the possible values that the independent variable of a function can assume/take on. What is the domain of the function that defines the actual distance (in miles), d, in terms of n, the number of inches measured on the map. Use interval notation. 28 Preview e. Recall that a function's range describes the possible values that the dependent variable of a function can assume/take on. What is the range of the function that defines the actual distance (in miles), d, in terms of n, the number of inches measured on the map. Use interval notation. Preview

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 51RE
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Question
Let's consider another example. Imagine a map of a state where 1 inch on the map represents a distance of 28 miles
in actual distance on a road. If n represents the number of inches on the map and d represents the driving distance on
the road (in miles):
a. Define a formula to represent the distance on the road (in miles) d in terms of n, the number of inches
measured on the map.
d=28n(1)
Preview
b. If the longest driving distance across the state is 434 miles, what is the maximum length (in inches) from one
side of the map to the other side of the map?
15.5
inches
Preview
c. Determine if the following statement is true or false.
v The driving distance d (in miles) is a function of the number of inches measured on the
True
map, n.
d. Recall that a function's domain describes the possible values that the independent variable of a function can
assume/take on.
What is the domain of the function that defines the actual distance (in miles), d, in terms ofn, the number of
inches measured on the map. Use interval notation.
28
Preview
e. Recall that a function's range describes the possible values that the dependent variable of a function can
assume/take on.
What is the range of the function that defines the actual distance (in miles), d, in terms of n, the number of
inches measured on the map. Use interval notation.
Preview
Transcribed Image Text:Let's consider another example. Imagine a map of a state where 1 inch on the map represents a distance of 28 miles in actual distance on a road. If n represents the number of inches on the map and d represents the driving distance on the road (in miles): a. Define a formula to represent the distance on the road (in miles) d in terms of n, the number of inches measured on the map. d=28n(1) Preview b. If the longest driving distance across the state is 434 miles, what is the maximum length (in inches) from one side of the map to the other side of the map? 15.5 inches Preview c. Determine if the following statement is true or false. v The driving distance d (in miles) is a function of the number of inches measured on the True map, n. d. Recall that a function's domain describes the possible values that the independent variable of a function can assume/take on. What is the domain of the function that defines the actual distance (in miles), d, in terms ofn, the number of inches measured on the map. Use interval notation. 28 Preview e. Recall that a function's range describes the possible values that the dependent variable of a function can assume/take on. What is the range of the function that defines the actual distance (in miles), d, in terms of n, the number of inches measured on the map. Use interval notation. Preview
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