MATH SOLVE

2 months ago

Q:
# Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease. y=8700(1.04)^4 ββ

Accepted Solution

A:

We are given this function:

[tex]y=8700* (1.04)^{4} [/tex]

8700 is the initial amount.

1.04 shows the change of original amount. This is decimal form of percentage. We need to transform it into regular percentage.

1.04 * 100% = 104%

Now we observe this number. If it is greater than 100% we have growth, if it is lower than 100% it is decay, and if it is equal to 100% than there is no change.

In our case this number is greater than 100% so we have growth. To determine the percentage rate we must substract 100% as it represents the original amount.

104% - 100% = 4%

This would be our solution if we don't have an exponent.

We have exponent so first step is to calculate the number and then we repeat the steps from above.

[tex] 1.04^{4} = 1,16985856[/tex]

1,16985856 * 100% β 116,99%

116.99% - 100% = 16.99%

So, final solution is growth of 16.99%

[tex]y=8700* (1.04)^{4} [/tex]

8700 is the initial amount.

1.04 shows the change of original amount. This is decimal form of percentage. We need to transform it into regular percentage.

1.04 * 100% = 104%

Now we observe this number. If it is greater than 100% we have growth, if it is lower than 100% it is decay, and if it is equal to 100% than there is no change.

In our case this number is greater than 100% so we have growth. To determine the percentage rate we must substract 100% as it represents the original amount.

104% - 100% = 4%

This would be our solution if we don't have an exponent.

We have exponent so first step is to calculate the number and then we repeat the steps from above.

[tex] 1.04^{4} = 1,16985856[/tex]

1,16985856 * 100% β 116,99%

116.99% - 100% = 16.99%

So, final solution is growth of 16.99%