Real-Life Linear Equations: Predictions & Line Relationships

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. Write the equation for the total cost (C) in terms of miles driven (m). If a customer drives 150 miles, what will be the total cost?

• $45

• $75

• $90

• $60

Two friends are walking in the park. Friend A walks at a speed of 3 miles per hour, while Friend B walks at a speed of 4 miles per hour. Write the equations for the distance each friend travels over time. After how many hours will Friend B be 2 miles ahead of Friend A?

• 4 hours

• 3 hours

• 1 hour

• 2 hours

A store sells pencils for $0.50 each and erasers for $0.75 each. If a student buys a total of 10 items for $6.00, write a system of equations to represent the situation. How many pencils and erasers did the student buy?

• 7 pencils and 3 erasers

• 5 pencils and 5 erasers

• 6 pencils and 4 erasers

• 4 pencils and 6 erasers

A gardener is planting two types of flowers in a garden. The first type grows to a height of 2x + 3 inches, and the second type grows to a height of 3x + 1 inches. If the heights are equal, what is the value of x?

• 2

• 4

• 1

• 3

A train travels at a speed of 60 miles per hour. Write an equation to represent the distance (d) traveled over time (t). If the train travels for 2.5 hours, how far does it go?

• 180 miles

• 120 miles

• 150 miles

• 200 miles

A local gym has a membership fee of $50 and charges $20 per class. Write the equation for the total cost (C) in terms of the number of classes (n) attended. If a member attends 8 classes, what is the total cost?

• 250

• 210

• 180

• 150

A line on a graph has a slope of 2 and passes through the point (1, 3). Write the equation of the line in slope-intercept form. Is this line parallel or perpendicular to a line with a slope of -1/2?

• y = 2x - 1; parallel to the line with slope -1/2

• y = -2x + 5; perpendicular to the line with slope -1/2

• y = 2x + 1; neither parallel nor perpendicular to the line with slope -1/2

• y = 0.5x + 2; parallel to the line with slope -1/2

A delivery truck travels 40 miles in 1 hour. Write an equation to represent the relationship between distance (d) and time (t). If the truck continues at this rate, how far will it travel in 3 hours?

• 100 miles

• 120 miles

• 150 miles

• 80 miles

A school is planning a field trip and needs to raise $500. If they charge $10 per ticket, write an equation to represent the number of tickets (t) they need to sell. How many tickets must they sell to reach their goal?

• 50

• 40

• 60

• 70

A bike shop sells two types of bikes. The first type costs $200 and the second type costs $300. If the shop sells a total of 15 bikes for $4000, write a system of equations to find out how many of each type of bike was sold.

• 3 bikes of the first type and 12 bikes of the second type were sold.

• 10 bikes of the first type and 5 bikes of the second type were sold.

• 5 bikes of the first type and 10 bikes of the second type were sold.

• 7 bikes of the first type and 8 bikes of the second type were sold.