Exponential Functions Practice Quiz

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(0.65)^x

Select the exponential function(s) that show(s) decay.

What is the growth factor of the situation represented by f(x)=10(0.3)^x?

• 10

• 0.3

• 1

• 3

When you touch a door handle 1,000,000 germs stick to your hand. Each drop of hand sanitizer you use reduces the germs by 30% (I MADE THESE NUMBERS UP!). Write an equation for the amount of germs still on your hands for each drop of hand sanitizer used.

You buy a car for $45,000. Every day it loses 15% of its value. Write an equation that gives the value of the car, x days after you buy it. 

Suppose you put $1000 into the bank, and you earn 12% interest each year. Write a function that tells the amount of money you have, M(t), after t years

• There are 1.04 mosquitoes in your yard at the beginning of the night

• It is 104 degrees outside

• The number of mosquitoes increases by 4% every hour

• It takes you 1.04 seconds to swat a mosquito away from your face

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? Round to the nearest WHOLE.

• 9766
• 9006
• 9765
• 5433

Which transformed function below shows a shift 2 units to the left, up 5 units, and steepest function (of your options)?

• y = 4^(x-2)+5
• y = 2^(x-2)+5
• y = 4^(x+2)+5
• y = 2^(x+2)+5