Exponential Regression

What is the first step in finding the equation for the curve of best fit in desmos?

• Enter exponential regression formula.

• Enter data.

• Create a table.

• Use the a and b values given to create your equation.

Tags

CCSS.HSF.LE.A.2

Jessica paid $23,000 for her car and kept a record of its value. Assuming the relationship is exponential, which equation best models the curve of best fit for the data?

Tags

CCSS.HSF.LE.A.2

Which equation best models the relationship shown on the grid?

• y = 2x + 8

• y = -2x + 8

YOU NEED TO CHOOSE 2 ANSWERS!

Q1. Which type of equation would best model the data in this table?

Q2. Using the equation of best fit from the data in the table, what would be the value of y if x = 300?

• Q1. Exponential

• Q1. Quadratic

• Q2. 540

• Q2. 1024

If the radioactive decay continues at the same rate, which is closest to the amount of the sample of Barium-122 remaining at 5 minutes?

• 8.3 grams

• 10.0 grams

• 11.7 grams

• 14.1 grams

A data set is displayed in this table. Using the exponential curve of best fit, what is the value of y, rounded to the nearest hundredth, when x = 5?

• 0.12

• 0.25

• 0.50

• 0.75

Tags

CCSS.HSF.LE.A.2

Assuming the account continues to grow in the same way, use the exponential curve of best fit to find the value of the account at the end of 40 years, rounded to the nearest dollar.

• $8,000

• $9,500

• $10,000

• $12,000

Tags

CCSS.HSF.LE.A.2

Using the exponential curve of best fit, which is closest to the expected amount in the savings account 30 years after the time Madison deposited the initial $1,000?

• $2,854

• $3,291

• $5,743

• $16,854

Tags

CCSS.HSF.LE.A.2

If f(x) = 30(1.5)^x, what is f(2)?

• 67.5

• 90

• 73

• 62.7

Tags

CCSS.HSF-IF.C.8B

Which of the following equations shows an initial value of 21 and is an exponential growth?

Tags

CCSS.HSF.LE.A.2