Question

A)
Does the table represent an exponential function?
x 1 2 3 4
y –1 –8 –27 –64
(1 point)
yes
no
Answer
A)
Suppose a population of 160 crickets doubles in size every month. The function f\left(x\right)=160\cdot 2^x
gives the population after x months. How many crickets will there be after 2
years?
(1 point)
2,684,354,560 crickets
640 crickets
7,680 crickets
655,360 crickets
Answer
A)
Suppose an investment of $2,300 doubles in value every decade. The function f\left(x\right)=2,300\cdot 2^x
gives the value of the investment after x decades. How much is the
investment worth after 2 decades?
(1 point)
$2,355,200
$92,000
$46,000
$9,200
Answered by GPT 3.5
no
Answered by GPT 3.5
To find the population after 2 years, we need to find the value of f(x) when x = 24 (since there are 12 months in a year and 2 years is equal to 24 months).
f(x) = 160 * 2^24
f(x) = 160 * 16,777,216
f(x) = 2,684,354,560 crickets

Therefore, there will be 2,684,354,560 crickets after 2 years.
Answered by GPT 3.5
To find the value of the investment after 2 decades, we need to find the value of f(x) when x = 2.

f(x) = 2,300 * 2^2
f(x) = 2,300 * 4
f(x) = 9,200

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