Growth or Decay?

If y = a(B)^x is a growth then...

• the base is greater than 1

• the base is less than 1

• the initial value is greater than 1

• the initial value is less than 1

Tags

CCSS.HSF-IF.C.8B

Growth or Decay? Increase

• Growth

• Decay

Tags

CCSS.HSF-IF.C.8B

Growth or Decay? Depreciate

• Growth

• Decay

Tags

CCSS.HSF-IF.C.8B

Growth or Decay? Half-Life

• Growth

• Decay

Tags

CCSS.HSF-IF.C.8B

Growth or Decay? The population of HomeTown is 2016 was estimated to be 35,000 people with an annual rate of increase of 2.4%.

• Growth

• Decay

Tags

CCSS.HSF-LE.A.1C

Growth or Decay? Newtons Law of Cooling states that the rate of cooling of an object is

proportional to the temperature difference between the object and its surroundings.

A roast turkey is taken from the oven when tis temperature has reached 185 F

and is placed on a table in a room where the temperature is 75 F.

• Growth

• Decay

Tags

NGSS.HS-PS3-4

Growth or Decay? We are given an equation relating the rate at which electricity is draining from a capacitor and the passage of time. We need to a) solve for V and then b) find how long it will take for the voltage to drop to 10% of its original value.

• Growth

• Decay

Growth or Decay? A biologist is researching a newly-discovered species of bacteria. At time t = 0 hours, he puts one hundred bacteria into what he has determined to be a favorable environment. Six hours later, he measures 450 bacteria.

• Growth

• Decay

Tags

CCSS.HSF-LE.A.1A

Growth or Decay? Carbon-14 has a half-life of 5730 years. You are presented with a document which purports to contain the recollections of a Mycenaean soldier during the Trojan War. The city of Troy was finally destroyed in about 1250 BC, or about 3250 years ago. Carbon-dating evaluates the ratio of radioactive carbon-14 to stable carbon-12. Given the amount of carbon-12 contained a measured sample cut from the document, there would have been about 1.3 × 10–12 grams of carbon-14 in the sample when the parchment was new, assuming the proposed age is correct. According to your equipment, there remains 1.0 × 10–12 grams. Is there a possibility that this is a genuine document? Or is this instead a recent forgery? Justify your conclusions.

• Growth

• Decay

Growth or Decay? A certain type of bacteria, doubles in population every 6.5 hours. Given that there were approximately 100 bacteria to start with, how many bacteria will there be in a day and a half?

• Growth

• Decay

Tags

CCSS.HSF.LE.A.4