Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.Match each exponential equation to its percent rate of change.60% growth40% growth80% decay80% growth20% growth60% decay20% decay40% decay40(0.2)t = 1.660(0.8)t = 1.480(1.6)t = 201.2(1.4)t = 8020(0.6)t = 1.2

To match each exponential equation to its percent rate of change, we need to identify whether the equation represents growth or decay and then determine the rate.

1. 40(0.2)^t = 1.6

   • The base is 0.2, which is less than 1, indicating decay.
   • To find the percent rate of decay: $1 - 0.2 = 0.8$ or 80% decay.

2. 60(0.8)^t = 1.4

   • The base is 0.8, which is less than 1, indicating decay.
   • To find the percent rate of decay: $1 - 0.8 = 0.2$ or 20% decay.

3. 80(1.6)^t = 20

   • The base is 1.6, which is greater than 1, indicating growth.
   • To find the percent rate of growth: $1.6 - 1 = 0.6$ or 60% growth.

4. 1.2(1.4)^t = 80

   • The base is 1.4, which is greater than 1, indicating growth.
   • To find the percent rate of growth: $1.4 - 1 = 0.4$ or 40% growth.

5. 20(0.6)^t = 1.2

   • The base is 0.6, which is less than 1, indicating decay.
   • To find the percent rate of decay: $1 - 0.6 = 0.4$ or 40% decay.

Now, let's match each equation to its percent rate of change:

• 40(0.2)^t = 1.6 → 80% decay
• 60(0.8)^t = 1.4 → 20% decay
• 80(1.6)^t = 20 → 60% growth
• 1.2(1.4)^t = 80 → 40% growth
• 20(0.6)^t = 1.2 → 40% decay

So the correct pairs are:

• 40(0.2)^t = 1.6 → 80% decay
• 60(0.8)^t = 1.4 → 20% decay
• 80(1.6)^t = 20 → 60% growth
• 1.2(1.4)^t = 80 → 40% growth
• 20(0.6)^t = 1.2 → 40% decay