Comparing Linear & Exponential Growth: Grade 8 Challenge

A car rental company charges a flat fee of $30 per day. If you rent a car for x days, how much will you pay? Write the equation and solve for x when the total cost is $150.

• 7

• 5

• 3

• 10

A population of rabbits doubles every month. If there are currently 10 rabbits, how many will there be in 6 months? Write an equation to represent this growth and calculate the number of rabbits.

• 640

• 80

• 1280

• 320

A local gym has 100 members and gains 5 new members each month. Write a linear equation to represent the number of members after x months. How many members will the gym have after 12 months?

• 120

• 200

• 150

• 160

A bank offers a savings account with a 5% interest rate compounded annually. If you deposit $1,000, how much will you have after 3 years? Write the exponential growth equation and solve it.

• $1,157.63

• $1,200.00

• $1,050.00

• $1,100.00

A farmer plants 50 trees, and each year, he plants 10 more trees. Write a linear equation to represent the total number of trees after x years. How many trees will he have after 5 years?

• 120

• 110

• 90

• 100

A bacteria culture starts with 200 bacteria and triples every hour. Write an exponential equation to represent the number of bacteria after t hours. How many bacteria will there be after 4 hours?

• 12000

• 16200

• 8000

• 24000

A school has 300 students and adds 15 new students each year. Write a linear equation to represent the number of students after y years. How many students will the school have after 10 years?

• 500

• 400

• 450

• 300

A city’s population is currently 50,000 and is expected to grow by 2% each year. Write an exponential equation to model this growth. What will the population be in 5 years?

• 55261.62

• 58000

• 60000

• 54000

A book store sells 200 books in the first month and increases sales by 20 books each month. Write a linear equation for the number of books sold after m months. How many books will be sold in the 6th month?

• 300

• 280

• 320

• 250

A tech company’s revenue is $500,000 and is increasing by 10% each year. Write an exponential equation to represent the revenue after n years. What will the revenue be after 3 years?

• 550000

• 700000

• 665500

• 600000