7. Find the formula for the linear
function represented by the
following graph:
8. A cell phone company offers a plan for
$39.95 that charges $0.20 for each minute
of use that exceeds the included 400
minutes. Write an expression for the
total charges that uses m for the number of
excess minutes.
10. Find a value of x to show that 2x^2-
3x^3 is not equivalent to 3x^2-
2x^3.
11. Jon is making a 400 mile trip
driving 50 miles per hour. The
equation 400-50t=200 gives the
time he takes to reach the half-way
mark. What is his time?
12. If a person is expecting a 6% raise
next year, how much more money
should he/she expect next year if
he/she currently makes $52,000?
29. If it takes students 54 minutes to
finish 12 questions of an exam, how
long should it take them to
complete 26 questions?
30. Find the average rate of change of:
f(x)=2x^3-3x^2 from
x=-1
x=4
31. See-Thru Window Washers charges their customers
according to the formula p(x)=25+3x where x represents
the number of averaged sized windows it is being paid to
wash.
a) Identify the rate of change and the initial value and
explain what they mean in this context.
b) Find p(16) and explain its
meaning.
c) Solve p(x)=43 and
explain its meaning.
32. True or False: The following table, which represents the
cost for electricity in a home and the average
temperature (during summer months), demonstrates a
linear relationship.
Temperature Electric Bill
75 60
78 65
81 70
84 75
33. Write an equation in slope-intercept
form for the straight line that passes
through the point (5, 6) and is
parallel to the line y=3+2x.
37. True or False: The graphs of the
lines with the equations:
y=-2+4/13x
and
y=1+13/4x
are perpendicular.
38. Write an equation in slope-intercept
form for the straight line that passes
through the point (6, 4) and is
perpendicular to the line y=-4-7/3x.
39. Express the quantity as a linear function of
the indicated variable: The value of a
computer in year y, if it costs $2500 when
new and depreciates $500 each year, where
y represents the number of years after
the computer was purchased.
40. Write an equation in slope-intercept
form for the straight line that passes
through the point (2, 6) and has a
slope of 3/8.
41. What was the original cost of a
sweater that was discounted 30% if
the final price was $51.79?
42. Between 2006-2009, the average
home price in a certain town
decreased by $33,000. Find the
average rate of change of home
price during this time period
and interpret it
in this context.