1.
COMPLETE THE SENTENCE The linear equation
y
=
x
+ 3 is written in ____________ form.
In Exercises 3
–
8, use the graph to write an equation of the line and interpret the slope.
(See Example 1.)
3.
5.
(Out of order for formatting purposes)
7.
12.
ERROR ANALYSIS
Describe and correct the error
in interpreting the slope in the context of the situation.
9.
MODELING WITH MATHEMATICS
Two newspapers charge a fee for placing an advertisement in their
paper plus a fee based on the number of lines in the advertisement. The table shows the total costs for different
length advertisements at the Daily Times. The total cost
y
(in dollars) for an advertisement that is
x
lines long at
the Greenville Journal is represented by the equation
y
= 2
x
+ 20. Which newspaper charges less per line? How
many lines must be in an advertisement for the total costs to be the same?
(See Example 2.)

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Chapter 1 / Exercise 1

**Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach**

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10.
PROBLEM SOLVING
While on vacation in Canada, you notice that temperatures are reported in degrees
Celsius. You know there is a linear relationship between Fahrenheit and Celsius, but you forget the formula.
From science class, you remember the freezing point of water is 0°C or 32°F, and its boiling point is 100°C or
212°F.
a.
Write an equation that represents degrees Fahrenheit in terms of degrees Celsius.
b.
The temperature outside is 22°C. What is this temperature in degrees Fahrenheit?
c.
Rewrite your equation in part (a) to represent degrees Celsius in terms of degrees Fahrenheit.
d.
The temperature of the hotel pool water is 83°F. What is this temperature in degrees Celsius?
26.
HOW DO YOU SEE IT?
You secure an interest-free loan to purchase a boat. You agree to make equal
monthly payments for the next two years. The graph shows the amount of money you still owe.
a.
What is the slope of the line? What does the slope represent?
b.
What are the domain and range of the function? What does each represent?
c.
How much do you still owe after making payments for 12 months?
30.
MATHEMATICAL CONNECTIONS
Which equation has a graph that is a line passing through the point
(8, −5) and is perpendicular to the graph of
y
= −4
x
+ 1?