Question

PLEASE HELP! The table below shows the population of a city for the five years following the closing of a large factory in the city. Which function best models this set of data?

Answer 1

The fucntion is an exponential function. The correct option is D; P(x) = 100,000(0.9)^x.

What are exponential functions?

When the expression of function is such that it involves the input to be present as an exponent (power) of some constant, then such function is called exponential function.

For example, y^x, where a is a constant is an exponential function.

The table below shows the population of a city for the five years following the closing of a large factory in the city.

We can see that the when we put the value of x = 0 we get p(x) is 100,000

when we put x = 1. we get p(x) = 90,000.

So, We conclude that the function is an exponential function as the value of x increases the value of p(x) decreases.

Hence, the fucntion is an exponential function. The correct option is D; P(x) = 100,000(0.9)^x.

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