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Name___________________________Date_______________Period________
Catching Up!
Reflect and Apply
Use your knowledge from the activity “Catching Up!” to complete the following assignment.
Be sure to show all your work to receive credit.
Two large gas tanks a local gas station were being filled simultaneously. Both tanks had
the same dimensions. When gasoline starting flowing into them, Tank A had gas to a
height of 50 inches; after 45 seconds, Tank B had a reading of 420 inches. As both tanks
were being filled, two individuals checked the height of each tank and recorded in the two
tables below.
Tank A
Time
(sec)
0
30
60
90
120
150
180
210
240
270
Height of Gas
(inches)
50
108
171
232
293
352
411
473
535
595
Tank B
Time
(sec)
45
75
105
135
165
195
225
255
285
315
Height of Gas
(inches)
420
464
508
555
601
646
691
735
781
826
Determine the time when both tanks had exactly the same amount of gasoline. In order to
help you accomplish the task, be sure to answer the following questions:
1) Identify the Independent and the Dependent Variable:
Independent:
Dependent:
2) Find the average rate of change for the height of the gas, and the average rate of
change for the time for both tanks to determine the Rate of Change or “slope” for
each tank. (HINT: Find the change between each interval and then take the average!)
TANK A
TANK B
SATEC/Algebra I/Linear Systems/565321619/Rev. 07-01
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Name___________________________Date_______________Period________
3) What is the meaning of the Rate of Change “slope” in this problem? Be specific.
4) Write the equation that represents the height of the gas in Tank A.
5) (a) Find the y-intercept for the second equation.
(b) Write the equation that represents the height of the gas in Tank B.
6) What is the meaning of the y-intercept for the second equation? What does it
represent in terms of this problem? Explain your answer.
7) Find out at what point in time the two tanks will have the same amount of gasoline. Be
sure to show all your work!!! (HINT: Use the two equations and solve the system of
equations using substitution)
SATEC/Algebra I/Linear Systems/565321619/Rev. 07-01
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