Mastering Functions and Linear Equations in Real-Life Scenarios

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Write a function to represent the total cost, C, as a function of miles driven, m. How much would it cost to drive 150 miles?

• $60

• $100

• $120

• $80

The temperature in a city can be modeled by the function T(t) = 2t + 30, where T is the temperature in degrees Celsius and t is the time in hours after midnight. What is the temperature at 5 AM?

• 45 degrees Celsius

• 40 degrees Celsius

• 35 degrees Celsius

• 50 degrees Celsius

A store sells notebooks for $3 each and pens for $2 each. If a student buys n notebooks and p pens, write a function to represent the total cost, C(n, p). How much would it cost if the student buys 4 notebooks and 5 pens?

• 20

• 25

• 18

• 22

A linear equation representing the relationship between the number of hours worked, h, and the total pay, P, is given by P(h) = 15h. How much will a person earn if they work 10 hours?

• 200

• 150

• 75

• 100

The distance d in miles that a cyclist travels can be modeled by the function d(t) = 12t, where t is the time in hours. How far will the cyclist travel in 3 hours?

• 36 miles

• 24 miles

• 48 miles

• 30 miles

A phone plan charges a monthly fee of $25 plus $0.10 per text message sent. Write a function to represent the total cost, C, as a function of the number of text messages, x. How much would it cost if a user sends 200 messages?

• $45

• $70

• $55

• $30

A linear equation is given by y = 4x + 2. What is the value of y when x = 3?

• 14

• 12

• 8

• 10

A gardener plants flowers in rows. If each row contains 5 flowers, write a function F(r) to represent the total number of flowers planted in r rows. How many flowers are planted in 8 rows?

• 40

• 30

• 50

• 25

The function f(x) = -3x + 12 represents the height of a plant in centimeters after x weeks. What is the height of the plant after 2 weeks?

• 10 cm

• 6 cm

• 4 cm

• 8 cm

A taxi charges a base fare of $2.50 plus $1.50 for each mile driven. Write a function to represent the total fare, F, as a function of miles driven, m. How much would the fare be for a 10-mile trip?

• $12.00

• $15.00

• $17.50

• $20.00