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Yuki888 [10]
3 years ago
7

Write an equation for the exponential growth. You will still have t as a variable in the equation

Mathematics
1 answer:
Greeley [361]3 years ago
6 0

Answer:

y=100(1.1^t)

Step-by-step explanation:

we know that

The exponential function is of the form

y=a(b^t)

where

y ---> the number of trucks

t ----> is the time in years

a ---> is the initial value (number of trucks for t=0)

b is the base

r is the rate

b=(1+r)

In this problem we have

a=100\ trucks

substitute

y=100(b^t)

we have the point (1,110)

For t=1 year, y=110 trucks

substitute

110=100(b^1)

solve for b

110=100b

b=110/100=1,1

The rate of growth is

r=b-1=1.1-1=0.10=10\%

the exponential equation is equal to

y=100(1.1^t)

<u><em>Verify for the third point of the table</em></u>

For t=2 years

y=100(1.1^2)=121\ trucks ---->is correct

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