Real-World Geometric Sequences: Solve & Graph Challenges

A cell phone plan offers a monthly fee of $30 and charges an additional $10 for each extra gigabyte of data used. If a user starts with 1 GB and doubles their usage each month, how much will they pay in the third month?

• $40

• $50

• $70

• $60

A tree grows 5 inches in the first year and then its growth doubles each subsequent year. How tall will the tree be after 4 years if it started at 2 feet?

• 120 inches

• 75 inches

• 50 inches

• 99 inches

A company invests $1,000 in a project that yields a return of 10% each month. How much will the investment be worth after 6 months?

• $2,000.00

• $1,771.56

• $1,500.00

• $1,200.00

A video game character earns 50 points in the first level and then earns double the points in each subsequent level. How many points will the character earn after completing the 5th level?

• 1000

• 800

• 200

• 400

A bacteria culture starts with 200 bacteria and doubles every hour. How many bacteria will there be after 5 hours?

• 6400

• 12800

• 3200

• 25600

A savings account has an initial deposit of $500 and earns 5% interest compounded monthly. What will the balance be after 3 months?

• $506.35

• $500.00

• $520.50

• $510.00

A car depreciates in value by 15% each year. If the car is initially worth $20,000, what will its value be after 3 years?

• $8,500

• $10,000

• $12,282.50

• $15,000

A movie theater sells tickets for $8, and the price increases by 20% each year. What will the ticket price be after 4 years?

• 12.50

• 10.00

• 14.80

• 16.58

A population of fish in a lake is 1,000 and increases by 25% each year. What will the population be after 3 years?

• 1953

• 2500

• 1200

• 1500

A loan of $2,000 has an interest rate of 12% compounded annually. How much will be owed after 2 years?

• $2,508.80

• $2,700.50

• $2,200.00

• $2,400.00