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Question

Question
Does the table represent an exponential function?

 x
 1

 2

 3

 4

 y
 –1

 –8

 –27

 –64

(1 point)
Responses

yes
yes

no
no
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Answer 1

Yes, the table represents an exponential function.

Answer 2

2 of 52 of 5 Items

Question
Suppose a population of 160 crickets doubles in size every month. The function f(x)=160•2x gives the population after x months. How many crickets will there be after 2 years?

(1 point)
Responses

2,684,354,560 crickets
2,684,354,560 crickets

640 crickets
640 crickets

7,680 crickets
7,680 crickets

655,360 crickets
655,360 crickets
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Answer 3

To find the number of crickets after 2 years, we need to substitute x=24 into the function f(x)=160•2^x.

f(24) = 160•2^24 = 2,684,354,560 crickets

So, there will be 2,684,354,560 crickets after 2 years.

Answer 4

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Question
Suppose an investment of $2,300 doubles in value every decade. The function f(x)2300•x  gives the value of the investment after x decades. How much is the investment worth after 2 decades?

(1 point)
Responses

$2,355,200
$2,355,200

$92,000
$92,000

$46,000
$46,000

$9,200
$9,200
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Answer 5

To find the value of the investment after 2 decades, we need to substitute x=2 into the function f(x)=2300•2^x.

f(2) = 2300•2^2 = 2300•4 = $9,200

So, the investment is worth $9,200 after 2 decades.