The cost to buy tickets to a concert is $ 50 per ticket. a. Write a function that represents the cost C x in $ for x tickets to the concert. b. There is a sales tax of 6 % and a processing fee of $ 5 for a group of tickets. Write a function that represents the total cos t a for a dollars spent on tickets. c. Find T ° C X . d. Find T ° C 10 and interpret its meaning in the context of this problem.
The cost to buy tickets to a concert is $ 50 per ticket. a. Write a function that represents the cost C x in $ for x tickets to the concert. b. There is a sales tax of 6 % and a processing fee of $ 5 for a group of tickets. Write a function that represents the total cos t a for a dollars spent on tickets. c. Find T ° C X . d. Find T ° C 10 and interpret its meaning in the context of this problem.
Solution Summary: The author explains that the cost of tickets to a concert is 50 per ticket, and the total cost, T(a)=1.06a+5
The cost to buy tickets to a concert is
$
50
per ticket.
a. Write a function that represents the cost
C
x
in
$
for
x
tickets to the concert.
b. There is a sales tax of
6
%
and a processing fee of
$
5
for a group of tickets. Write a function that represents the total
cos
t
a
for
a
dollars spent on tickets.
c. Find
T
°
C
X
.
d. Find
T
°
C
10
and interpret its meaning in the context of this problem.
After a great deal of experimentation, two college senior physics majors determined that when a bottle of French champagne is shaken several times, held upright, and uncorked,
its cork travels according to the function below, where s is its height (in feet) above the ground t seconds after being released.
s(t)=-16t² + 30t+3
a. How high will it go?
b. How long is it in the air?
+6x²+135x+1) (0≤x≤10). a) Find the number of units
The total profit P(x) (in thousands of dollars) from a sale of x thousand units of a new product is given by P(x) = In (-x²+6x² + 135x+
that should be sold in order to maximize the total profit. b) What is the maximum profit?
The fox population in a certain region has an annual growth rate of 8 percent per year. It is estimated that the
population in the year 2000 was 22600.
(a) Find a function that models the population t years after 2000 (t = 0 for 2000).
Your answer is P(t)
=
(b) Use the function from part (a) to estimate the fox population in the year 2008.
Your answer is (the answer should be an integer)
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