Exponential Writing of Equations

The equation for this table is 

• y = 1(2^x)

• y = 1(12^x)

• y = 12x

• y = 12x + 1

The equation for this table is

• y = 3x + 50

• y = 50^x

• y = 3^x

• y = 50(3^x)

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

• y=6(0.14)^x

• y=6(1+14)^x

• y=6(1.14)^x

• y=6(0.86)^x

What type of function is y = 7(5/4)^x?

• Exponential Growth

• Exponential Decay

• Linear

• None of the above

• A

• B

• C

• D

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

Write the equation of the function.

Mathematical Equivalence

ON

Write the equation of the exponential function

Mathematical Equivalence

ON

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