Question

Identify the initial amount and the growth rate of the following:
Y = 9.8 (1.35)^t

Answer 1

The given equation represents an exponential growth with an initial amount of 9.8 and a growth rate of 1.35.

Step-by-step explanation:

The given equation is Y = 9.8 (1.35)^t.

This is an exponential growth equation where Y represents the final amount at time t, and 9.8 is the initial amount. The growth rate is 1.35.

For example, if t = 1, the equation becomes Y = 9.8 (1.35)^1 = 9.8 * 1.35 = 13.23. The final amount after 1 time period is 13.23.

Answer 2

Assuming t is a time unit.
The initial amount is when t = 0, so it is 9.8 * 1 = 9.8. The growth rate is how much the amount goes up by for every increase of 1 in t. This is 1.35 because that is the part being affected by t. we plug in 0 for t to get 9.8 as the initial amount. The growth rate is just 135% factor, or 35% more each time, because 1.35 is the base of the exponent.