Question

Consider the two exponential equations shown. Identify the attributes for each equation to complete the table.

Answer 1

Function in the first column: y=30(1.25)^x
Initial value when x=0→y=30(1.25)^0=30(1)→Initial value 30
Like 1.25>1→Growth
Growth rate=(1.25-1)*100%=(0.25)*100%→Growth rate=25%

Answers for the function in the first column: y=30(1.25)^x
Initial value: 30
Growth or Decay: Growth
Growth/Decay rate: 25%

Function in the second column: y=200(0.75)^x
Initial value when x=0→y=200(0.75)^0=200(1)→Initial value 200
Like 0.75<1→Decay
Decay rate=(1-0.75)*100%=(0.25)*100%→Decay rate=25%

Answers for the function in the second column: y=200(0.75)^x
Initial value: 200
Growth or Decay: Decay
Growth/Decay rate: 25%