Identify the initial amount a and the rate of growth r (as a percent) of the exponential function y = 12(1.05)t. evaluate the function when t = 5. round your answer to nearest tenth.

Answer

Exponential function is in the form of : .....[1]

where a is the initial amount and r is the growth rate and (1+r) is the growth factor.

Given the function:

On comparing with equation [1] we have;

Initial amount(a) = 12

1+r = 1.05

Subtract 1 from both sides we get;

or 5%

Growth (r) = 0.05 or 5%

Now, evaluate the function for t = 5 we have;

Substitute the value of t=5 in the given function we have;

Therefore, the value of function when t=5 to the nearest tenth is 15.3

There are 7 green aprons and they are to be assigned randomly to twenty five volunteers. Therefore, the probability of being assigned a green apron is:

Thus, the the probability that a volunteer is assigned an apron that is NOT green is a complementary event and is thus given by:

Therefore, in terms of percentage, the odds of not getting a green apron is 72%.