The following functions give the populations of four towns with time tt in years. (i) P=600(1.12)^t
(ii) P=1,000(1.03)^t
(iii) P=200(1.08)^t
(iv) P=900(0.90)^t
Which town has the largest percent growth rate? What is the percent growth rate?

Solution :

Transforming given equations :

From above equations we can see that equation 1) has largest percentage growth rate and the percent growth rate is 12% .

Hence, this is the required solution.

(i), 12%

Step-by-step explanation:

Given

The Population of four towns is given

(i) i.e.

rate=12%

(ii)

rate=3%

(iii)

rate=8%

(iv)

rate=10% fall

So, the largest growth rate is for town (i)  i.e. 12%

part a

x     y

0     8

1     7.5

2     7

3     6.5

4     6

5     5.5  

for every hour i deducted .5 inches from the length of the candle

part b

it is a function because for every x value there is only one y value

part   c

for every x value there is only one y value

x       y

0       8

1       7.6

2       7.2

3       6.8

step-by-step explanation: