Exponential Regression Word Problems

The city of Sugar Land has been experiencing rapid growth.
Predict the year when Sugar Land’s population will reach 75,000.

• 1990
• 1991
• 1992
• 1993

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

The city of Sugar Land has been experiencing rapid growth. Determine an exponential model for the following data.

• y = 18, 718.26(1.13)^x
• y = 1871826(1.13)^x
• y = 187.1826(1.13)^x
• y = 1.8718.26(1.13)^x

Tags

CCSS.HSF.LE.A.2

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: Find the exponential model of the function.

• y = 100(8.7)^x
• y = 100(1.87)^x
• y = 100(.87)^x
• y = 100(.13)^x

Tags

CCSS.HSF.LE.A.2

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.HSF.BF.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

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

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

• about 60,000
• about 80,000
• about 90,000
• about 100,000

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