Graphing Linear & Exponential Functions: Real-World Scenarios

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If you drive 100 miles, how much will you pay? Graph the linear function that represents the total cost based on miles driven.

• $90

• $70

• $80

• $60

Tags

CCSS.8.EE.B.5

A population of bacteria doubles every hour. If you start with 100 bacteria, how many will there be after 5 hours? Graph the exponential function that represents the growth of the bacteria over time.

• 800

• 3200

• 4000

• 1600

Tags

CCSS.HSF.LE.A.4

A gym membership costs $30 per month with a one-time sign-up fee of $50. Write the linear equation for the total cost of membership after 'm' months and graph it.

• Total Cost = 50 + 30m^2

• Total Cost = 50m + 30

• Total Cost = 30m - 50

• Total Cost = 30m + 50

Tags

CCSS.8.EE.B.5

A tree grows 2 inches every year. If it is currently 5 feet tall, how tall will it be in 10 years? Create a linear function to represent the height of the tree over time and graph it.

• 4 feet

• 6 feet

• 10 feet

• 8 feet

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

A taxi charges a base fare of $3 plus $2 for each mile traveled. If you travel 10 miles, how much will the fare be? Graph the linear function that represents the fare based on miles traveled.

• $10

• $23

• $30

• $15

Tags

CCSS.8.EE.B.5

A phone plan costs $40 per month plus $0.10 per text message. If you send 200 text messages in a month, what will your total bill be? Graph the linear function that represents the total cost based on the number of messages sent.

• $80

• $60

• $50

• $70

Tags

CCSS.8.EE.B.5

A plant grows at a rate of 3 cm per week. If it is currently 15 cm tall, how tall will it be after 8 weeks? Create a linear function to represent the height of the plant and graph it.

• 39 cm

• 25 cm

• 45 cm

• 30 cm

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

A city’s population is projected to grow exponentially. If the current population is 50,000 and it is expected to double every 10 years, how many people will live in the city in 30 years? Write the exponential function and graph the population growth.

• 400000

• 300000

• 250000

• 50000