29.
(05.02 HC)
The table below shows four systems of equations:

System 1 System 2 System 3 System 4
4x − 5y = 2
3x − y = 4 4x − 5y = 2
10x − 21y = 10 4x − 5y = 2
24x − 47y = 22 4x − 5y = 2
10x + 3y = 15

Which pair of systems will have the same solution? (5 points)


System 1 and system 2, because the second equation in system 2 is obtained by adding the first equation in system 1 to two times the second equation in system 1

System 2 and system 3, because the second equation in system 3 is obtained by adding the first equation in system 2 to two times the second equation in system 2

System 1 and system 2, because the second equation in system 2 is obtained by adding the first equation in system 1 to three times the second equation in system 1

System 2 and system 3, because the second equation in system 3 is obtained by adding the first equation in system 2 to three times the second equation in system 2
30.
(04.05 LC)
The graph of f(x) = (0.5)x is replaced by the graph of g(x) = (0.5)x − k. If g(x) is obtained by shifting f(x) down by 3 units, the value of k is
. (5 points)

31.
(05.01 MC)
Choose the system of equations which matches the following graph: (5 points)

a line includes points 0 comma 6 and 4 comma 9. A line includes points 3 comma 6 and 2 comma 3


3x + 4y = 24
3x + y = −3

3x + 4y = 24
3x − y = 3

3x − 4y = −24
3x + y = −3

3x − 4y = −24
3x − y = 3
32.
(01.03 LC)
A hybrid car can travel 40 miles per gallon. Approximately how many gallons of fuel will the car need to travel 20 km? (5 points)

[1 mile = 1.6 km]


0.3

0.8

2.5

3.2
33.
(05.02, 5.03 MC)
The graph shows the functions f(x), p(x), and g(x):

Graph of function f of x is y is equal to 4 plus the quantity 1.5 raised to the power of x. The straight line g of x joins ordered pairs 1, 3 and 3, negative 1 and is extended on both sides. The straight line p of x joins the ordered pairs 4, 2 and 5, 5 and is extended on both sides.
Courtesy of Texas Instruments

Part A: What is the solution to the pair of equations represented by p(x) and g(x)? (3 points)

Part B: Write any two solutions for g(x). (3 points)

Part C: What is the solution to the equation g(x) = f(x)? Justify your answer. (4 points)

(10 points)


34.
(04.05 LC)
A function is shown below:

f(x) = (0.93)x

What does the function represent? (5 points)


Exponential growth of 7%

Exponential decay of 7%

Exponential growth of 93%

Exponential decay of 93%
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