Exponential Equations (Regressions)

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?

• decay rate

• growth rate

• Initial value

• slope

A population of 1500 deer decreases by 1.5% per year. At the end of 10 years, there will be approximately 1290 deer in the population. Which function can be used to determine the number of deer, y, in this population at the end of t years?

• y = 1500(1 - 0.015)^t
• y = 1500(0.015)^t
• y = 1500(1 + 0.015)^t
• y = 1500(1.5)^t

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

A chemist has a 100-gram sample of a radioactive material.  He records the amount of radioactive material every week for 6 weeks and obtains the following data: How much is left after 12 weeks?

• 15
• 21
• 17
• 19

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Find the exponential model of the function.

• y = 100(8.8)^x
• y = 100(1.88)^x
• y = 100(.88)^x
• y = 100(.12)^x

Tags

CCSS.HSF.LE.A.2

Which of the equations below represent this table?

• y=3⋅(36)^x
• y=36⋅(3)^x
• y=3⋅(⅓)^x
• y=36⋅(⅓)^x

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Write the equation that represents the table below:

• y=½(4)^x
• y=2(4)^x
• y=4(2)^x
• y=4(½)^x

Tags

CCSS.HSA.CED.A.2

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.2

Which type of regression model does the scatter plot appear to show?

• linear

• exponential

• quadratic

Tags

CCSS.HSS.ID.B.6

Use the exponential regression to find an equation that fits the​ data, where x is the years since 1990.

• y=8.92•1.23^x
• y=1.23•8.92^x
• y=8.92+1.23x
• y=8.92x+1.23

Tags

CCSS.HSF.LE.A.2

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

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5