For Questions 28–37, refer to the following: From years of experience, a bagel shop has determined that at a price of p = $ 2.50 , they will sell x = 450 bagels each week. If they lower the price to p = $ 2.00 , they will sell x = 550 bagels each week. Assuming this relationship is linear, write an equation that relates the price, p , to the number of bagels, x , that will be sold. Your equation should look like p = m x + b .
For Questions 28–37, refer to the following: From years of experience, a bagel shop has determined that at a price of p = $ 2.50 , they will sell x = 450 bagels each week. If they lower the price to p = $ 2.00 , they will sell x = 550 bagels each week. Assuming this relationship is linear, write an equation that relates the price, p , to the number of bagels, x , that will be sold. Your equation should look like p = m x + b .
Solution Summary: The author calculates the equation in the form of p=mx+b.
For Questions 28–37, refer to the following: From years of experience, a bagel shop has determined that at a price of
p
=
$
2.50
, they will sell
x
=
450
bagels each week. If they lower the price to
p
=
$
2.00
, they will sell
x
=
550
bagels each week.
Assuming this relationship is linear, write an equation that relates the price, p, to the number of bagels, x, that will be sold. Your equation should look like
p
=
m
x
+
b
.
The human papillomavirus (HOV) is the most common sexully transmitted infection in the United States. This year there are an estimated 24 million active cases with the projected 5.5 million new cases each year, according to the national Cancer Institute.
a. Write a Linear equation for the number of cases, C, after t years.
b. Using your equation, determine algebrically in how many years the number of cases be 41 millin? round to the nearest year.
c. Given in line that contains the two points (3, -7) and (5, 6) find the following
1. Find the slope of the line parallel to the line above
2. Find the slope of the line perpendicular to the line above
Finbar bought his home for $150,000 in 2010. Property values have increased 10% every year since he has owned the home. Which of the following equations can be used to represent the price of the home x years after 2010?
A.)y = 150,000(1.5)x
B.)y = 150,000(1.1)x
C.)y = 150,000(0.9)x
D.)y = 150,000(0.5)x
The charge for a taxi ride in New York City is $3.00 for the first 1/4 of a mile, and then
$0.40 for each additional 1/4 of a mile (rounded up to the nearest 1/4 mile).
(a) Complete the table below for the cost C of going x miles in the taxi. Do not include a dollar sign in
your answer. If the answer is $1.50, answer 1.50 or 1.5 (etc.).
Miles, x 0
Cost, C
1/4
1/2
3/4
(b) How much would it cost to go 1/5 of a mile? $
(c) How much would it cost to go 6/5 of a mile? $
(d) How far could you go for $7.40?
1
5/4
3/2
7/4
(include help (units) in your answer)
2
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