A motorist drives on a toll road to and from work each day and pays $ 4.25 in tolls one-way. a. Write a model for the cost C in $ for tolls in terms of the number of working days, x . b. The department of transportation offers a prepaid toll pass for $ 150 a month. How many working days are required for the motorist to save money by buying the pass?
A motorist drives on a toll road to and from work each day and pays $ 4.25 in tolls one-way. a. Write a model for the cost C in $ for tolls in terms of the number of working days, x . b. The department of transportation offers a prepaid toll pass for $ 150 a month. How many working days are required for the motorist to save money by buying the pass?
Solution Summary: The author explains how to calculate the cost of tolls in terms of the number of working days.
A motorist drives on a toll road to and from work each day and pays
$
4.25
in tolls one-way.
a. Write a model for the
cost
C
in
$
for tolls in terms of the number of working days,
x
.
b. The department of transportation offers a prepaid toll pass for
$
150
a month. How many working days are required for the motorist to save money by buying the pass?
1. Consider the function f(x) whose graph is given below.
Use the graph to determine the following:
2
a) All x for which f'(x) is positive.
b) All x for which f'(x) is negative.
2
-2
c) The x for which f'(x) is zero. (please depict this on the graph)
4. Suppose that the population of a certain collection of rare Brazilian ants is given by
P(t)=(t+100) In(t+2),
Where t represents the time in days. Find and interpret the rates of change of the population on the third day
and on the tenth day.
Find all values of x for f (x)=(x²-4) 4 where the tangent line is horizontal.
5. Find the slope of the tangent line to the graph of f(x)=-√8x+1 at x=1. Write the equation of the tangent
line.
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
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