Question

Match each exponential equation to its percent rate of change.

1.2(1.4)^x = 80
40(0.2)^x = 1.6
60(0.8)^x = 1.4
80(1.6)^x = 20
20(0.6)^x = 1.2
A. 80% decay
B. 40% decay
C. 40% growth
D. 80% growth
E. 20% growth

Answer 1

The exponential equation 1.2(1.4)^x = 80 represents a 40% growth rate. The equation 40(0.2)^x = 1.6 represents an 80% decay rate. The equation 60(0.8)^x = 1.4 represents a 20% growth rate. The equation 80(1.6)^x = 20 represents an 80% growth rate. Lastly, the equation 20(0.6)^x = 1.2 represents a 40% decay rate.

Step-by-step explanation:

The exponential equation 1.2(1.4)^x = 80 represents a 40% growth rate. The equation 40(0.2)^x = 1.6 represents an 80% decay rate. The equation 60(0.8)^x = 1.4 represents a 20% growth rate. The equation 80(1.6)^x = 20 represents an 80% growth rate. Lastly, the equation 20(0.6)^x = 1.2 represents a 40% decay rate.