Modeling With Exponential

Classify the model as Exponential GROWTH or DECAY and identify the time.

A=10(1.01)³

• Growth for 3 years

• Decay for 10 years

• Growth for 10 years

• Decay for 3 years

A new car depreciates about 15% each year. You purchase a new car for $35,000. Using the graph predict about how many years it will take for the value of the care to be $25,000.

• 7 years

• 5 years

• 2 years

• 1 year

Determine whether a linear model or an exponential model would be most appropriate for the data.

• Linear

• Exponential

Identify whether the data shows exponential GROWTH or exponential DECAY. Then, determine an exponential function to model the situation.

• Exponential Decay; $y=62\left(1.75\right)^x$

• Exponential Decay; $y=62\left(1.34\right)^x$

Identify whether the data shows exponential GROWTH or exponential DECAY. Then, determine an exponential function to model the situation.

• Exponential Decay; $y=2200\left(3.39\right)^x$

Use the data set to generate an exponential model.

Calculate the average RATIO between successive y-values.

• ratio= 1.725

• ratio= 3.426

• ratio= 1.9

Calculate the average RATIO between successive y-values.

• ratio= 0.8

• ratio= 0.5

• ratio= 2.5

• 1.3

Identify whether the data shows exponential GROWTH or exponential DECAY. Then, determine an exponential function to model the situation.