Quiz about Exponential Word Problems Quiz

Question 1

A certain type of bacteria doubles in number every hour. If you start with 3 bacteria, the number of bacteria after $$x$$ hours can be represented by $$y=3(2)^x$$ . What does the 2 represent in this context?

Accepted Answer

The rate of bacteria growth

Answer

The initial amount of bacteria

Answer

The new amount of bacteria

Answer

Time in Hours

Question 2

A certain type of bacteria doubles in number every hour. If you start with 3 bacteria, the number of bacteria after $$x$$ hours can be represented by $$y=3(2)^x$$ . What does the y represent in this context?

Accepted Answer

The new total of bacteria

Answer

The initial amount of bacteria

Answer

The rate of bacteria growth

Answer

Time in Hours

Question 3

A population is growing at an exponential rate and represented by $$y=12(4)^x$$ . What part of the equation represents the growth rate.

Accepted Answer

4

Answer

12

Answer

y

Answer

x

Question 4

A car depreciates in value by 20% each year. If the initial value of the car is $$25,000$$ the value after x years can be represented by $$y=25000\left(0.8\right)^x$$ . The 25000 in the equation represents what in this context?

Accepted Answer

The initial value of the car.

Answer

The depreciation rate.

Answer

The new value of the car.

Answer

Time in years

Question 5

A population of a small town is increasing by 5% annually. If the current population is 10,000, the population after $$x$$ years can be represented by $$y=10000(1.05)^x$$ . What does the exponent (x) represent in this context?

Accepted Answer

The number of years

Answer

The initial population

Answer

The annual increase rate

Answer

The final population

Question 6

A certain radioactive substance decays at a rate of 10% per year. If you start with 100 grams of the substance, the amount left after $$x$$ years can be represented by $$y=100(0.9)^x$$ . What is 0.9 in this context?

Accepted Answer

Rate of Decay

Answer

Time in years

Answer

Initial mass

Answer

Radioactivity

Question 7

A certain species of fish has a population that triples every month. If the initial population is 200 fish, the population after $$x$$ months can be represented by $$y=200(3)^x$$ . What does the exponent (x) represent in this context?

Accepted Answer

The number of months

Answer

The initial population

Answer

The monthly increase rate

Answer

The final population

Question 8

A tree species grows in height by approximately 25% each year. If a sapling is initially 2 meters tall, the height after $$x$$ years can be represented by $$y=2(1.25)^x$$ . What does the exponent (x) represent in this context?

Accepted Answer

The number of years

Answer

The initial height

Answer

The annual growth rate

Answer

The final height

Question 9

A tree species grows in height by approximately 25% each year. If a sapling is initially 2 meters tall, the height after $$x$$ years can be represented by $$y=2(1.25)^x$$ . What does y represent in this context?

Accepted Answer

The new height

Answer

The initial height

Answer

The annual growth rate

Answer

The number of years

Question 10

A social media platform's user base increases by an exponential rate each month. The following equation represents the situation: $$y=1000(1.1)^x$$ . Based on the equation how many followers did they start with?

Accepted Answer

1000

Answer

1.1

Answer

$$x$$

Answer

$$y$$

Exponential Word Problems Quiz

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