Exponential Equations Practice A1

Des Moines is having a blizzard.  It has already snowed 1 inch and the total with double each hour.  Write an equation.

• y=1(2)^x
• y=1(1/2)^x
• y=2(1/2)^x
• y=2(2)^x

In an exponential function, what does the 'a' represent? 

• SLOPE
• RATE OF CHANGE
• INITIAL VALUE
• ASYMPTOTE

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

Tags

CCSS.HSF.LE.A.2

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

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• y=5000(0.7)^x
• y=30(5000)^x
• y=5000(1.3)^x
• y=5000x^x

Tags

CCSS.HSF.LE.A.2

What is the equation of this table?

• y=512(1/4)^x
• y=32(4)^x
• y=32(1/4)^x
• y=512(4)^x

Tags

CCSS.HSF.LE.A.2

Your shiny new boat cost $7650.  The depreciation for your boat is 14% per year.  What is the equation that models this problem for the value of the vehicle in 3 years?

• y= 7650(.14)³
• y= 7650(.86)³
• y= 7650(1+.86/1)^3*1

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?

• y=8(15,000)^x
• y=15,000(1.08)^x
• y=15,000(0.92)^x
• y=15,000(0.08)^x

An adult takes 800 mg of ibuprofen. Each hour, the amount of ibuprofen in the person’s system decreases by about 29%. How much ibuprofen is left after 6 hours? 

• 101
• 102
• 103
• 104

Tags

CCSS.HSF.LE.A.4

A bacterial colony doubles in size every 6 hours.  There are 90 bacteria present initially. Estimate the population size after 80 hours. What is the equation that models this problem?

• y= 90(2)^6/80
• y= 90(6)^80/2
• y= 2(90)^6/80
• y= 90(2)^80/6

Tags

CCSS.HSF.LE.A.4