Exponential Regression

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

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CCSS.HSF.LE.A.2

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

Tags

CCSS.HSF.LE.A.2

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

Tags

CCSS.HSF.LE.A.2

What is the equation of this table?

• y=512(1/4)^x
• y=32(4)^x
• y=32(1/4)^x
• y=512(4)^x

Tags

CCSS.HSF.LE.A.2

In an exponential function, what does the 'a' represent? 

• SLOPE
• RATE OF CHANGE
• Y-INTERCEPT
• COMMON RATIO

Tags

CCSS.HSF.LE.B.5

Is the pictured graph growth, decay, or linear or none?  

• Exponential Growth
• Exponential Decay
• Linear
• None

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CCSS.HSF-IF.C.7E

Write the exponential regression equation for the data.

• Y=8.16(2.7)^x

• Y=81.6(2.7)^x

• Y=8.16(.27)^x

• Y=8.16(27)^x

Tags

CCSS.HSF.LE.A.2

What type of function is y = 7(5/4)^x?

• Exponential Growth
• Exponential Decay
• Linear
• None of the above

Tags

CCSS.HSF-IF.C.8B

Write the exponential regression equation for this data.

• Y = 8.16(2.7)^X
• Y = 81.6(2.7)^X
• Y = 8.16(.27)^X
• Y = 8.16(27)^X

Tags

CCSS.HSF.LE.A.2

Select all the equations that represent exponential decay.

Tags

CCSS.HSF-IF.C.8B