Equation Worksheets - Test 2, Mat 1101 Page 2

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14. A storage tank contains 540 gallons. Gasoline is then pumped out of the storage tank at a rate of 12 gallons
per minute until the tank is empty. Let G(x) represent the amount of gasoline left in the tank after “x” minutes.
a) What is the rate of change?
b) How much gasoline is in
c) Find the linear equation G(x).
the tank when x = 0?
d) How much gasoline is in the tank after 10 minutes?
e) How many minutes does it tank to empty the tank?
o
15. Ammonium chloride salt must be a certain temperature to dissolve in a given amount of water. At 10
o
Celsius, 33 grams of water can be dissolved; and at 40
Celsius, 48 grams of water can be dissolved. Let g(x)
o
represent the number of grams of ammonium chloride salt that can be dissolved at x
Celsius.
a) What is average rate of change
b) Find the equation g(x).
in grams per degree Celsius?
c) How many grams can be
d) What would the temperature need to be to dissolve
o
dissolved at 0
Celsius?
100 grams of ammonium chloride in the water?
16. The number of calories burned by cycling for “x” hours can be calculated by the formula C(x) = 794x.
a) How many calories are burned
b) Lance Armstrong cycles 6 hours a day. How
per hour of cycling?
many calories does he burn each day by cycling?
c) If 1 pound of weight is 3500 calories, how long
does one have to cycle to exercise off 1 pound?
17. Kim bought $0.42 stamps for letters and $0.27 stamps for postcards. She bought a total of 170 stamps for
$53.40. How many stamps for postcards did she buy?

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