Question

Match each exponential equation to its percent rate of change. Not all tiles will be used

Answer 1

Explanation

In general, an exponential equation has the form

$a\cdot b^t=c,$

where a, b, and c are constants. The percent rate of change of such an equation is given by

$b-1.$

If this number is positive, we talk about growth; but if this number is negative, we talk about decay.

With this in mind, let's solve the exercise:

• The percent rate of change of the first equation is

$1.6-1=0.6;$

which in percentage form turns out to be

$0.6\cdot100=60\%.$

• The percent of change of the second equation is

$1.4-1=0.4;$

which in percentage form turns out to be

$0.4\cdot100=40\%\text{.}$

• The percent rate of change of the third equation is

$0.8-1=-0.2.$

Which in percentage form turns out to be

$-0.2\cdot100=-20\%\text{.}$

• The percent rate of change of the fourth equation is

$0.2-1=-0.8;$

which is percentage form is

$-0.8\cdot100=-80\%\text{.}$

• The percent rate of change of the last equation is

$0.6-1=-0.4;$

which in percentage form is

$-0.4\cdot100=-40\%\text{.}$Answer