EXPONENTIAL FUNCTION CONTEXT AND DATA MODELLING WORKSHEET

For each problem, create a function to model the scenario.

Problem 1 :

A population 𝑝 of 500 people doubles every 35 years 𝑡.

Solution

Problem 2 :

Mr. Kelly bought a new tractor for his farm in New York. It cost him $150,000. Unfortunately, it’s value 𝑣 depreciates in value by 5.4% per year 𝑡.

Solution

Problem 3 :

A baseball card is worth $50 and its value 𝑣 increases at a rate of 23.5% per year 𝑡

Solution

Problem 4 :

There is 500 grams 𝑔 of radioactive material. Its halflife is 5,700 years, 𝑡

Solution

Problem 5 :

700 grams of radioactive material 𝑚 decays at a rate of 2.4% per year 𝑡. How much material will be there after 100 years ?

Solution

Problem 6 :

The new tires on a truck have a tread depth of 0.5 inches and decays at the rate of 1.6% per week. How deep will the tread be after 52 weeks ?

Solution

Problem 7 :

A car that is worth $25000, decreases in value by 15% per year. How much will the car be after 5 years ?

Solution

Problem 8 :

Mr. Brust IQ currently 173, but it is decaying at a rate of 4.5% every year. What will Mr. Brust's IQ be in 20 years ?

Solution

Problem 9 :

A plague of mice has hit Australia! Starting with only 30 mice, their population 𝑝 increases by 650% every month, 𝑚.

Solution

Problem 10 :

The rodent population 𝑝 in a large city is being controlled by a new poison that kills half the population every 6 months 𝑚. There are currently 2,000,000 rodents.

Solution