Question

Does each equation represent exponential decay or exponential growth?

Drag and drop the choices into the boxes to correctly complete the table.
Note: If an equation is neither exponential growth nor exponential decay, do not drag it to the
table.

Answer 1

1.
`H = 5.9(0.82)^(t)`. Exponential decay function.

2.
`y = 0.8(3.6)^(t)`. Exponential growth function.

3.
`f(t) = 0.72(15)^(t)`. Exponential growth function.

4.
`A = (4)/(9) (8)^(t)`. Exponential growth function.

5.
`A = ((4)/(3))^(t)`. Exponential growth function.

6.
`H = (7)/(2) ((5)/(6) )^(t)`. Exponential decay function.

7. g(x) = 0.3(x). Not an exponential function.

Explanation:

1.
`H = 5.9(0.82)^(t)`. This is an exponential decay function.

As the value of t increases H-value decreases.

2.
`y = 0.8(3.6)^(t)`. This is an exponential function of growth.

As the value of t increases y-value also increases.

3.
`f(t) = 0.72(15)^(t)`. This is an another example of exponential growth function.

As the value of t increases f(t)-value also increases.

4.
`A = (4)/(9) (8)^(t)`. This is again an example of exponential growth function.

As the value of t increases A-value also increases.

5.
`A = ((4)/(3))^(t)`. This is again an example of exponential growth function.

As the value of t increases A-value also increases.

6.
`H = (7)/(2) ((5)/(6) )^(t)`. This is another an example of exponential decay function.

As the value of t increases, H-value decreases.

7. g(x) = 0.3(x). This is a non-exponential function. (Answer)