Exploring Linear & Exponential Growth: Word Problems Quiz

A car rental company charges a flat fee of $30 per day to rent a car. If you rent the car for x days, write a linear equation to represent the total cost. How much would it cost to rent the car for 5 days?

• $100

• $200

• $75

• $150

A bacteria culture doubles in size every hour. If you start with 100 bacteria, how many will there be after 4 hours? Write an exponential equation to represent this situation.

• 800

• 400

• 1600

• 2000

A gym membership costs $50 to join and $20 per month. Write a linear equation for the total cost of membership after m months. How much will it cost after 6 months?

• $150

• $170

• $120

• $200

A population of rabbits grows exponentially. If there are currently 200 rabbits and the population doubles every year, how many rabbits will there be in 3 years?

• 1600

• 400

• 3200

• 800

A phone plan offers unlimited data for a flat fee of $60 per month. If you want to compare this with a plan that charges $10 for the first month and $5 for each additional month, write the equations for both plans and determine after how many months they will cost the same.

• 15 months

• 6 months

• 12 months

• 10 months

A savings account offers 5% interest compounded annually. If you deposit $1,000, how much money will be in the account after 3 years? Write an exponential equation to find the total amount.

• 1305.25

• 1100.50

• 1157.63

• 1200.00

A factory produces 500 units of a product each day. If production increases by 50 units each day, write a linear equation to represent the total production after d days. How many units will be produced after 10 days?

• 1200 units

• 800 units

• 1000 units

• 950 units

A viral video gets 1,000 views on the first day and the number of views triples each subsequent day. How many views will the video have after 5 days? Write an exponential equation to represent this growth.

• 81000

• 30000

• 120000

• 50000

A subscription service charges $15 per month. If you want to compare this with a service that charges $5 for the first month and $10 for each additional month, write the equations for both services and determine after how many months they will cost the same.

• 1 month

• 4 months

• 3 months

• 2 months