Question

Can someone help me explain how you can tell using equations and is my answer and table correct?! Please I need help :( !

Answer 1

Replacing into the equation with t = 0, 1 and 14, we get:

`\begin{gathered} P(t)=2600\cdot((96)/(100))^t \\ P(0)=2600\cdot((96)/(100))^0=2600\cdot1=2600 \\ P(1)=2600\cdot((96)/(100))^1=2600\cdot(96)/(100)=2496 \\ P(14)=2600\cdot((96)/(100))^(14)\approx2600\cdot0.565\approx1468 \end{gathered}`

And the table is:

t | P(t)

0 | 2600

1 | 2496

14 | 1468

As we can see in the table, the population is decreasing. This is because the base of the exponent, c = 96/100, is less than 1.

The statement P(14) means that t = 14, that is, 14 years have elapsed since 2000. And the population is 1468 students.