Exponential Decay and Regression

Using a function fit to this data, which dollar amount would predict the trailer's value in 10 years?

• $3,500

• $10,700

• $7,900

• $9,300

Tags

CCSS.HSF.LE.A.2

Property values often increase exponentially. Brad kept track of his house’s value for the past 5 years with 0 being the year the house was purchased. Year (X) | Value (V) 0 | 200,000 1 | 214,355 2 | 229,740 3 | 246,229 4 | 263,900 5 | 282,843 Entering these values into an exponential regression calculator will result in which function?

Tags

CCSS.HSF.LE.A.2

Robert simulated a “decay” situation with pennies. He started with 100 pennies, shook them in a can and then emptied the can onto the desktop. He removed all the pennies that landed tails up, counted the remaining heads up pennies and recorded that number in the table. Robert then put the heads up pennies in the jar, shook it and emptied it, continuing this through 5 stages as recorded in the table. Using an online regression calculator, which function is a good fit to Robert’s data?

• y = 0.53(96.4x)

Tags

CCSS.HSF.LE.A.2

A sample includes 600 bacteria. After a dose of an antibiotic, the number of bacteria decreases. Paula recorded the number of bacteria at 20-minute intervals following the dose of antibiotics. The relationship is given in the following table. Based on this observed data and a reasonably well-fitted function, which value is a good prediction of the number of bacteria remaining after 2 hours?

• 9

• 20

• 70

• 160

Tags

NC.SCoS.9-12.NC.M1.F-BF.1a

NC.SCoS.9-12.NC.M3.F-BF.1a

Determine a reasonable exponential function for the data. Which value is the BEST prediction for the number of students who will be selected at Level 5?

• 285

• 515

• 1050

• 1500

Tags

CCSS.HSF.LE.A.2

• $48.64

• $52.17

• $55.15

• $59.01

This table shows the surface area, in square inches, of a melting slab of ice t minutes after being placed outside. Number of Minutes (t) | Surface Area (square inches) f(t) 0 | 85.00 3 | 46.75 6 | 25.71 9 | 14.14 12 | 7.78 What is the approximate exponential best-fit function for the data?

Tags

CCSS.HSF.LE.A.2

This table shows the number of bacteria in a petri dish, y, after x hours. Which exponential function best fits the data set?

Tags

CCSS.HSF.LE.A.2

This table shows the number of cars produced at a factory x years after 1998. The data set is modeled with the exponential best-fit model. Which approximate function can be used to model the number of cars, in thousands, produced after x years?

Lawrence saves money for college. This table shows the total amount he has saved after several years. The data is modeled with the exponential best-fit function. Approximately how many years will it take for Lawrence to save $1,000?

• A. 13 years

• B. 14 years

• C. 16 years

• D. 20 years

Tags

CCSS.HSF.LE.B.5