Linear Growth vs. Exponential Growth Answers
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1
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Which is the graph of f(x) = 100(0.7)x?
A
On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 49) and (0, 100).
B
On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 9) and (0, 100).
C
On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 70) and (0, 100).
D
On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 30) and (0, 100).
2
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Terrence buys a new car for $20,000. The value of the car depreciates by 15% each year. If f(x) represents the value of the car after x years, which function represents the car’s value?
A
f(x) = 20,000(0.85)xB
f(x) = 20,000(0.15)xC
f(x) = 20,000(1.15)xD
f(x) = 20,000(1.85)x3
Which graph represents exponential decay?
A
On a coordinate plane, a straight line has a negative slope.
B
On a coordinate plane, a graph starts at (negative 2, 0) and curves up and to the right into quadrant 1.
C
On a coordinate plane, a graph approaches y = 0 in quadrant 1 and curves up into quadrant 2.
D
On a coordinate plane, a graph approaches y = 0 in quadrant 2 and curves up into quadrant 1.
4
The graph of f(x) = 2x is shown on the grid.
A
On a coordinate plane, an exponential function approaches x = 0 in quadrant 4 and increases into quadrant 1.
B
On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0.
C
On a coordinate plane, an exponential function approaches y = 0 in quadrant 3 and curves down into quadrant 4.
D
On a coordinate plane, an exponential function approaches x = 0 in quadrant 1 and curves down and to the right into quadrant 4.
5
The table represents an exponential function.
A
One-third
B
Two-thirds
C
2D
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