Multiple Choice

Question

Graph the exponential function.
y = 5(2)x
(1 point)
Responses

Graph AAs x approaches negative infinity, y approaches 0 from above. The function passes through the points left-parenthesis 0 comma 5 right-parenthesis, left-parenthesis 1 comma 10 right-parenthesis, and left-parenthesis 2 comma 20 right-parenthesis.
Image with alt text: Graph A As x approaches negative infinity, y approaches 0 from above. The function passes through the points left-parenthesis 0 comma 5 right-parenthesis, left-parenthesis 1 comma 10 right-parenthesis, and left-parenthesis 2 comma 20 right-parenthesis.

Graph BThe function passes through the points left-parenthesis negative 2 comma 8 right-parenthesis, left-parenthesis negative 1 comma 4 right-parenthesis, and left-parenthesis 0 comma 2 right-parenthesis. As x approaches infinity, y approaches 0 from above.
Image with alt text: Graph B The function passes through the points left-parenthesis negative 2 comma 8 right-parenthesis, left-parenthesis negative 1 comma 4 right-parenthesis, and left-parenthesis 0 comma 2 right-parenthesis. As x approaches infinity, y approaches 0 from above.

Graph CAs x approaches negative infinity, y approaches 0 from above. The function passes through the points left-parenthesis 0 comma 2 right-parenthesis, left-parenthesis 1 comma 4 right-parenthesis, and left-parenthesis 2 comma 8 right-parenthesis.
Image with alt text: Graph C As x approaches negative infinity, y approaches 0 from above. The function passes through the points left-parenthesis 0 comma 2 right-parenthesis, left-parenthesis 1 comma 4 right-parenthesis, and left-parenthesis 2 comma 8 right-parenthesis.

Graph DThe function passes through the points left-parenthesis negative 2 comma 20 right-parenthesis, left-parenthesis negative 1 comma 10 right-parenthesis, and left-parenthesis 0 comma 5 right-parenthesis. As x approaches infinity, y approaches 0 from above.
Image with alt text: Graph D The function passes through the points left-parenthesis negative 2 comma 20 right-parenthesis, left-parenthesis negative 1 comma 10 right-parenthesis, and left-parenthesis 0 comma 5 right-parenthesis. As x approaches infinity, y approaches 0 from above.
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Answer 1

The correct answer is Graph D.

Answer 2

Question
Find the annual percent increase or decrease that y = 0.35(2.3)x models.
(1 point)
Responses

230% increase
230% increase

130% increase
130% increase

30% decrease
30% decrease

65% decrease
65% decrease
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Answer 3

The correct answer is 230% increase.

Answer 4

Question
An initial population of 175 quail increases at an annual rate of 22%. Write an exponential function to model the quail population. What will the approximate population be after 5 years?
(1 point)
Responses

ƒ(x) = 175(0.22)x; 473
ƒ( x ) = 175(0.22) x ; 473

ƒ(x) = (175 • 0.22)x; 84,587,005
ƒ( x ) = (175 • 0.22) x ; 84,587,005

ƒ(x) = 175(22)x; 901,885,600
ƒ( x ) = 175(22) x ; 901,885,600

ƒ(x) = 175(1.22)x; 473
ƒ( x ) = 175(1.22) x ; 473
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Answer 5

The correct answer is ƒ(x) = 175(1.22)x; 473. The approximate population after 5 years will be 473 quail.