Question

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.

Answer 1

Explanation:

A). In exponential equation
`80(1.6)^(t)=20`, 1.6 is the common ratio which represents [(1 + 60% of 1) = 1.6] a growth of 60%.

B). In
`20(0.6)^(t)=1.2` common ratio is 0.6 [(1 - 40% of 1)] which represents 40% decay.

C). In
`60(0.8)^(t)=1.4` common ratio is 0.8 [(1 - 20% of 1)] which represents 20% decay.

D). In
`40(0.2)^(t)=1.6` common ratio is 0.2 [(1 - 80% of 1)] which represents 80% decay.

E). In
`1.2(1.4)^(t)=80` common ratio is 1.4 [(1 + 40% of 1)] which represents 40% growth.

Answer 2

60% growth, 40% decay, 20% decay, 80% decay, 40% growth. In that order :)

Explanation:

The number inside the parenthesis is always 1+a number. So for every .1 up or down, that's 10% growth or decay(up being growth, down being decay).