The number of bats in a colony is growing exponentially. After 2 years, there were 180 bats. After 5 years, there were 1440 bats. If the colony continues to grow at the same rate, how many bats are expected to be in the colony after 9 years

23040 bats

Step-by-step explanation:

Let N(t) be the number of bats at time t

We know that exponential function

According to question

Where t (in years)

Substitute t=2 and N(2)=180

...(1)

Substitute t=5 and N(5)=1440

...(2)

Equation (1) divided by equation (2)

By using the property

Substitute the values of b in equation (1)

Substitute t=9

Hence, after 9 years the expected bats in the colony=23040 bats

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the answer is 9.8975

explanation:

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step-by-step explanation: