Build Exponential Equations

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

Identify the y-intercept (initial value) in the function f(x)=13(.27)^x

• (.27)^x
• .27
• 13
• 3.51

The population of Winnemucca, Nevada, can be modeled by P=6191(1.04)^t where t is the number of years since 1990. What percent did the population increase each year?

• 4%

• It doesn't say

• I don't know

• 400%

Denise has $80 in a savings account that earns 10% interest, compounded annually.
To the nearest cent, how much will she have in 3 years?

• $106.48

• $26.48

• $8 

• $104

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

• y = 15(35)^x

• y = 15(0.35)^x

• y = 15(1.35)^x

• y = 35(1.15)^x

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?

• 9765

• 9006

• 5433

• 9766

Solve:
3^x-2 = 27^4x

• -2/11

• -2/3

• 2/11

• 2/3

Solve:
16^x-3 = 8^x-3

• 9

• -3

• 0

• 3