Exponential Formula: The Basics

Does the following equation show growth or decay?
y=10,000*(0.76)^x

• Growth 
• Decay

Tags

CCSS.HSF-IF.C.8B

Does the following equation show growth or decay?
y=100*(0.85)^x

• Growth 
• Decay

Tags

CCSS.HSF-IF.C.8B

Bacteria can multiply at an alarming rate when each bacteria splits into two new cells, thus doubling. If we start with only one bacteria which can double every hour, how many bacteria will we have after half of a day?

• 1024
• 2048
• 8192
• 4096

Tags

CCSS.HSF.LE.A.4

Each year the local country club sponsors a tennis tournament. Play starts with 256 participants. During each round, half of the players are eliminated. How many players remain after 5 rounds? 

• 2
• 4
• 16
• 8

Tags

CCSS.HSF.BF.A.2

A certain type of bacteria decays at a rate of 1/4 of its size per day. A scientist starts with 80 mg of this bacteria.

Write an exponential equation to show this decay.

• y = (1/4)x

• y = 1/4(80)^x

• y = (80)(1/4)(x)

• y = 80(1/4)^x

Tags

CCSS.HSF.LE.A.2

In exponential equations, the base must ALWAYS be greater than...

• 0

• 1

• -1

• 2

Does the following equation show growth or decay?
y=100*(0.85)^x

• Growth 
• Decay

Bacteria can multiply at an alarming rate when each bacteria splits into two new cells, thus doubling. If we start with only one bacteria which can double every hour, how many bacteria will we have after half of a day?

• 1024
• 2048
• 8192
• 4096

Tags

CCSS.HSF.LE.A.4

If the number of bacteria in a colony doubles every 16 hours and there is currently a population of 3,000 bacteria, what will the population be 32 hours from now?

• 12,000 Bacteria
• 1.2 x 10¹³  Bacteria
• 196,608,000 Bacteria
• 6000 Bacteria

Tags

CCSS.HSF.LE.A.4

A biologist studying squirrels created a function to model their population growth from 1990, p(t) = 5(2)^t where,t = is the number of years past 1990 and p(t) = population of squirrels. How many squirrels will there be in 1992?

• 5 squirrels

• 10 squirrels

• 20 squirrels

• 40 squirrels