M8.1-8.3 Exponentials Review

Classify
 f(x)=-3(1.75)^x

• Exponential Growth
• Exponential Decay

Tags

CCSS.HSF-IF.C.8B

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?

• 9743

• 9006
• 9766

• 5433

Tags

CCSS.HSF.BF.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

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) of the function f(x)=2 ⋅ 4^x.

• 2
• 4
• (2)^x
• 8

Tags

CCSS.HSF-IF.C.7E

What is a, the starting term, for the function: f(x) = 300(1.16)^x?

• 300
• 1.16
• .16
• x

Tags

CCSS.HSF.LE.B.5

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

• Growth
• Decay

Tags

CCSS.HSF-IF.C.8B

• $ 819.20

• $ 1.4

• $ 140

Tags

CCSS.HSF-IF.C.8B

Caiden earned $475 from mowing lawns last summer.He deposited this money in an account that pays an interest rate of 3.8% compounded annually. What will be his balance after 15 years?

• $827.52    

• $831.10

• $839.45

• $846.80  

Mark took a loan out for $25,690 to purchase a truck. At an interest rate of 5.2% compounded monthly, how much total will he have paid after 5 years?

• $33,299.42

• $33,672.68

• $34,157.04

• $34,710.88