TWO STORAGE TANKS

Two large storage tanks, T and W, contain water. T starts losing water at the sametime additional water starts flowing into W. The graph below shows the amount ofwater in each tank over .a period of time.

3.

mnn

OUU 1

h vnn 1ii ' uw [

1 600 £

w L_C A nft

w Ton A— =i

H no -

"N.

t

0 1

--

\>s

•V"N-

•

•

-—

£-

IT,

2 3 4 5 6 7 £

Number of

™

9 10 1

hours

—

1 12 13 14 15

y./,!-4. Suppose Tank Z contains 550 gallons of WE ter and-

When will Tank Z contain the same amou itWill all 3 tanks ever contain the same a

- is not gaining or losing water.of water as Tank T? as Tank W?

ount of yvater at the same tirrle? Explain.

~

1. Assume that the rates of water loss and water gain continue as shown. When will thetwo tanks contain the same amount of water? Explain how you found youranswer and interpret your solution in terms of the problem.

2. Write an equation for each storage tank that can be used to determine theamount of water in the tank at any given number of hours. '

^'-

Adapted frttfr: U.S. Department or Education, Institute of Education SciencesNational Conine (or Education Statistics, National Assessment of Educational Progress (NAEP), 2003 Mathematics AssessmentLEARNING RESEARCH AND DEVELOPMENT CENTER O 2007 University of Pittsburgh

Adapted from: U.S. Department of Education, Institute or Education SciencesNational Canter (or Education Statistics, National Assessment of Educational Prog ess (NAEP), 2003 ALEARNING RESEARCH AND DEVELOPMENT CENTER O 2007 University of Plltsburoh

Custom T - Shirts

Last summer you were-hired to work at Custom T-Shirts, the company that prints the t-shirts for all of theneighborhood sports teams. When a customer orders shirts with their own design printed on them, CustomT-Shirts charges them a one-time fee of $15 to make the design plus $8 for each t-shirt printed.

1 . Your first responsibility at Custom T-Shirts is to make a table and a graph that show how much a customerwill be charged for various numbers of shirts. Include the cost of up to 100 shirts.

2. How much should Custom T-Shirts charge a customer for 150 s$rJs?How much should *e charI *-lj / jCs ~-

rger750 shirts? Explain how you determined your answers. l j I *-j / js ~- * 0 < 5

3. If you have not done so already, write an equation that could be used to determine how much to charge acustomer for any number of shirts. k& £ Q r V/J>

4 What is the largest number of custcrn t-shirts that a customer can buy for $100? Explain how you figured

Homework:• Fancy T-Shirts charges a one-time fee of $18 to make the design plus $5 for each t-shirt printed. How

will their prices compare to the Custom T-Shirt prices? Explain. #?*«- <* <f <

Task: -Custom T-shirts'Source: Adapted from "1 .8 - U.S. Shirts: Using Tables, Graphs, and Equations, Part 1 ," Cognitive Tutor Algebra 1 , p. 37

LEARNING RESEARCH AND DEVELOPMENT CENTER ffi 2007 University of Pittsburgh Funded by the James Irvine Foundation

CUSTOM T-SHIRTS FANCY T-SHIRTSNumber of

Shirts

10

30

so

Charge

3~3T7/7T

Number ofShirts

lo

\

' .

Charge

7262

I / SIS*.

:)

/ Institute (or Learning Funded by James Irvine Foundation