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

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step-by-step explanation:

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the equation for this situation is y=122+45. to solve the equation you would add 45 and 122 to get a total of 167lbs. in conclusion, grace's weight eight weeks ago was 167lbs.