Answer:
When t=10, the town is predicted to have around 443 acres of wetlands.
At one time, the town had 740 acres of wetlands.
The wetland area in the town decreases by 5% per year.
Step-by-step explanation:
Given
Required
The true statements
We have:
Substitute 10 for t
<em>Hence, (a) is true</em>
We have:
Substitute 740 for f(t)
Divide through by 740
Express 1 as 0.95^0
Cancel out the bases
Hence, the area had 740 acres initially;
(b) is true
We have:
Using the general formula
By comparison:
0.95 < 1 means that:
--- where r = rates
Collect like terms
Express as percentage
Hence, (c) is true
In (a)
Hence, (d) is false
In (c)
---- decrement
Hence, (e) is incorrect