Download Report

Name~ Class.
Date~
Problem Solving Connections
0
Rec Center Savings Naomi is the director of a new
recreation center. Most of the equipment for the rec center
has been donated, but the city has given Naomi $1,000 to buy
any additional items that are needed. Naomi plans to invest
any remaining money in a savings account. How much money
will the rec center have in the account after five years?
f
COMMON
CORE
CC.7.RP.3
CC.?. EE2
CC.?. EE.3
9 Buy a Phig Pong
Naomi wants to buy a ping pong table
for the rec center. She wants to choose
the least expensive brand. She finds
three brands that are on sale, as shown
in the table.
A Show how to estimate the sale
price of an Ace ping pong table.
0
a Show how to estimate the sale price of a Blaster ping pong table.
C
0
E
Chapter 6
Show how to estimate the sale price of a Champ ping pong table.
Which brand should Naomi buy? What is the exact sale price?
The sales tax in Naomi’s town is 8%. What is the final cost of the ping pong
table, including sales tax?
269
Problem Solving Connections
Buy a Portabb BasketbaN Noop
Naomi is also looking for a
portable basketball hoop. To
find the least expensive one,
she researches the wholesale
price of several brands and the
amount of markup for each
brand. The table shows her
findings.
0
I
What is the retail price of a
Rocket hoop? What is the retail price of a Starz hoop?
A
a What is the percent markup for a Titan hoop? How do you know?
C
D
What is an equivalent expression that can be used to find the retail price of a Titan hoop?
0
0
x
a
What is the retail price of a Titan hoop?
C
to
a
z
x
E
Naomi plans to order the portable basketball hoop online, so there will be
no sales tax. Also, Naomi has a coupon for 1.0% off the retail price of any
portable basketball hoop. Which brand should she buy and what will be the
final price Naomi pays? Explain.
n
0
C
C
0~
to
n
0
S
V
‘C
0
chapter 6
210
Problem Solving Connections
4
Buy a StaNonary Bike
The final item Naomi needs to buy is a stationary bicycle. New models come out
every year, so she researches the prices of older models in order to save money.
A
3
C
The table shows the prices of different brands and models of stationary
bikes. Complete the table.
Explain how you found the percent increase or decrease in the price of the
Windstream stationary bike.
Explain how you found the 2012 price of the Yankee stationary bike.
0
Assuming Naomi wants the least expensive brand and model, which brand
should she buy? Which year’s model should she buy?
E
Naomi must pay the local sales tax of 8% on the stationary bike. What is the
final cost of the stationary bike, including sales tax?
Chapter 6
271
Problem Solving Connections
C Answer the Questrnn
Naomi needs to find out how much money she has left after buying the ping
pong table, portable basketbal hoop, and stationary bike. She will deposit the
remaining money in a savings account.
A
Look back over your work. Complete the summary of the purchases that
Naomi made.
Brand
Final Cost
Ping Pong Table
Portable Basketball Hoop
Stationary Bike
TOTAL COST
a How much money does Naomi have to deposit in a savings account?
C
Naomi deposits the money in a savings account that earns 2% annual simple
interest. How much interest would the account earn in the first year?
D
At the end of each year (after the interest is paid), the city gives the rec center
$500, which Naomi deposits in the account. Complete the table to show how
the money in the account grows over 5 years.
C)
a
Year
Starting Principal
Amount
of
Interest
Earned
Additional
Deposit
Final
EndBalance
of Year at
C
toC
C
D
1
$500
D
r
2
n
$500
0
C
-o
3
C
0~
$500
4
$500
S
$500
to
n
0
-o
‘C
E
Chapter 6
How much money will the rec center have in the account after 5 years?
(Include the last deposit of $500 from the city.)
272
Problem Solving Connections