11.2k views
0 votes
NEED HELP ASAP! 10 POINTS!!! The amount of a leaves on a tree changes with time. The table below shows the amount of leaves f(t) left after time t: t(days) 0 1 2 _____________________ f(t) 100 80 64 Create an exponential function that represents the relationship between f(t) and t?

1 Answer

4 votes

f(t)=100(0.8)^t

The equation is in the format


f(t)=ab^t

where a is the initial value (when t=0), b is the rate of change between terms, and t is the amount of time.

Our initial value is 100. We find the rate of change by first finding the percent of change:
amount of change/original amount
= 20/100 = 0.2

This is a percent decrease, so we will subtract it from 1:
1-0.2 = 0.8

This goes in for b.
User Stryder
by
7.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories