Question

Determine whether each equation represents exponential decay or exponential growth. You’re also asked to drag and drop your choices into a table. Here are the equations in question:

1. A = (0.97)^t
2. y = 3.7(0.2)^t
3. y = 9/11(4)^t
4. P = 7/9(5/4)^t
5. V = 0.8(9)^t
6. P = 0.9(8.3)^t
7. g(x) = 2.1(x)

You need to classify each of these equations as either ""exponential decay"" or ""exponential growth"" and then arrange your choices accordingly in a table.

Answer 1

The equations can be classified as either exponential decay or exponential growth.

Step-by-step explanation:

The equation represents exponential decay when the value inside the parentheses is less than 1, causing the output to decrease over time. On the other hand, if the value inside the parentheses is greater than 1, it represents exponential growth.

Using this information, we can determine the classification of each equation:

1. A = (0.97)^t - Exponential decay
2. y = 3.7(0.2)^t - Exponential decay
3. y = 9/11(4)^t - Exponential growth
4. P = 7/9(5/4)^t - Exponential growth
5. V = 0.8(9)^t - Exponential growth
6. P = 0.9(8.3)^t - Exponential growth
7. g(x) = 2.1(x) - Not an exponential function