Create Exponential Equations in One Variable

• A

• B

• C

• D

Tags

CCSS.HSF.LE.A.2

Mathematical Equivalence

OFF

Santiago just got hired as a dental assistant at Lake Hills Dental Care. His starting salary is $38,000, and his contract ensures that he will receive a 3% salary increase each year. Write an exponential equation in the form y=a(b)x that can model Santiago's salary, y, after x years. y = ​ ​ ​ (a)   (​ ​ (b)   )^x After how many years will Santiago's salary be greater than $45,000? ​ ​ ​ (c)  

• 38000

• 1.03

• 6

• 1.3

• 4

• 0

• 3000

Natalie is the creator of Better Brain, a new mindfulness app for teens. The app currently has 1,262 downloads, and Natalie has set a goal of doubling the downloads every month. Write an exponential equation in the form y=a(b)x that can model Natalie's goal for the number of downloads, y, in x months. Use whole numbers, decimals, or simplified fractions for the values of a and b. y = ​ (a)   (​ (b)   )​ ^x

• 1262

• 2

• 1/2

• 1.2

• 0

• 2532

Tags

CCSS.HSF.LE.A.2

• f(x)

• 3

• 5

• x

• 15

• 9375

• 60

• 0

• 75

• 375

Tags

CCSS.HSF.LE.A.2

Click and drag the correct equation into the problem on the right.

g

j

e

Tags

CCSS.HSF.LE.A.2

Write the equation for the following graph.

• y = 25(2)^x

• y = 2(25)^x

• y = 25(1/2)^x

• y = 2(1/25)^x

Tags

CCSS.HSF.LE.A.2

Write the equation of the exponential function.

Answer explanation

The y-intercept is (0,2), so a = 2.

Find b by dividing a y-value by the previous y-value.

b = 8/2 = 4

Tags

CCSS.HSF.LE.A.2