Exponential Regression

Describe the association of the scatter plot.

• Linear

• Exponential; Growth

• Exponential; Decay

• Linear; negative association

Greenville is having a blizzard. It has already snowed 1 inch and the total will double each hour. Write an equation for the total inch of snow in x hour. Use exponential regression.

• y=1(2)^x

• y=1(1/2)^x

• y=2(1/2)^x

• y=2(2)^x

After 9 days, approximately how many grams of this substance will exist?

• about 64244

• about 173602

• about 23774

• about 469111

A box containing 1,000 coins is shaken, and the coins are emptied onto a table. Only the coins that land heads up are returned to the box, and then the process is repeated. The accompanying table shows the number of trials and the number of coins returned to the box after each trial.

Write an exponential regression equation that represents the table.

Mathematical Equivalence

ON

The accompanying table shows the number of bacteria present in a certain culture over a 5-hour period, where x is the time, in hours, and y is the number of bacteria.

 Write an exponential regression equation.

Round to the nearest hundredth.

Mathematical Equivalence

ON

A box containing 1,000 coins is shaken, and the coins are emptied onto a table. Only the coins that land heads up are returned to the box, and then the process is repeated. The accompanying table shows the number of trials and the number of coins returned to the box after each trial.

Using the equation you wrote, predict how many coins would be returned to the box after the eighth trial.

Mathematical Equivalence

ON

The breaking strength, y, in tons, of steel cable with diameter d, in inches, is given in the table.

Write an exponential regression equation.

Round to the nearest hundredth

Mathematical Equivalence

ON

The accompanying table shows the number of bacteria present in a certain culture over a 5-hour period, where x is the time, in hours, and y is the number of bacteria.

 Using this equation you wrote, determine the number of whole bacteria present when x equals 6.5 hours.

Round to the nearest hundredth.

Mathematical Equivalence

ON