#24: CFU-Exponential Growth Equations

Q. 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

Tags

CCSS.HSF.LE.A.2

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

• (.27)^x

• .27

• 13

• 3.51

Tags

CCSS.HSF.LE.B.5

The growth factor for this table is

• 2

• 4

• 12

• 144

The equation for this table is

• y = 3x + 50

• y = 50^x

• y = 3^x

• y = 50(3^x)

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

• 1.04

• 400%

An adult takes 400 mg of ibuprofen. Each hour, the amount of ibuprofen in the person’s system decreases by about 29%.

What is the multiplier for this problem?

• 1.29

• .71

• .29

• 1.71

Tags

CCSS.HSF-LE.A.1C

You bought a Boston Whaler in 2004 for $12,500. The boat's value depreciates by 7% a year. How much is the boat worth in 2012?

• $11625

• $6994.77

• $21,477

• $875

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

Jame's 70 in. giant peach doubles in size every week. Write an expression that would represent how big the peach is after 5 weeks.

• 70(2)³⁵

• 70(2)⁵

• 2(70)⁵

• 5(70)²

Tags

CCSS.HSF.BF.A.2

A population of 1500 deer decreases by 1.5% per year. At the end of 10 years, there will be approximately 1290 deer in the population. Which function can be used to determine the number of deer, y, in this population at the end of t years?

• y = 1500(1 - 0.015)^t

• y = 1500(0.015)^t

• y = 1500(1 + 0.015)^t

• y = 1500(1.5)^t