Question

Given the following exponential function, identify whether the change represents

Answer 1

For the given exponential function there will be an exponential growth of 7%.

What is a function?

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

we have

$f(x) = 4200(1.07)^x$

This is an exponential function of the form

$f(x)=ab^x$

where

a -  is the initial value

b -  is the base

If b > 1 ----> is a exponential growth

0 < b < 1 ----> is a exponential decay

r is the per cent rate

b = 1 + r

In this problem we have

a = 4200

b = 1.07

We can see that 1.07 > 1 -----> is a exponential growth

Find out the per cent rate

b = 1 + r

r = 1.07 - 1

r = 0.07

r = 7 x 100 = 7%

Therefore the given exponential function there will be an exponential growth of 7%.

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