Exponential Equations and Functions

Is this exponential growth or decay?

• Growth

• Decay

What type of function is f(x)=2(1/7)^x ?

• Exponential Growth

• Linear

• Exponential Decay

• None of the Abovee

A new savings account is opened with $400 and gains 3% every year. What is the exponential function?

• f(x)=400(1+3)^x

• f(x)=400(1-0.03)^x

• f(x)=400(1+0.03)^x

• f(x)=400(0.03)^x

• y-intercept: (0, 1)

Write the exponential equation for the situation. A family bought a house 10 years ago. Since that time, the value of the real estate in the neighborhood has declined 3% per year. If you initially paid $179,000 for their house, write an equation to model the value of the house after x years.

3^{2x – 6}  = 81

• x = log 4

• x = 5

• x = 4

• x = -1

2 * 4^{3x – 6} – 8 = 120

• x = 3

• x = 4

• x = 2.9

• x = 8

log₅ (2x - 3)² = 6

• x = 128

•  x = 64

• x = 4

• x = 14

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

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x

• y = 15(1.35)^x

• y = 15(0.35)^x

• y = 35(1.15)^x