Linear Equations and Slope in Real-World Scenarios

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Write an equation to represent the total cost (C) based on the number of miles driven (m). What is the slope of this equation?

• $0.10

• 0.20

• $1.00

• $0.50

A gardener is planting flowers in a straight line. If he plants 5 flowers in 2 hours, how many flowers will he plant in 8 hours? Write an equation and calculate the slope of the line representing flowers planted over time.

• 25 flowers

• 15 flowers

• 20 flowers

• 10 flowers

A school is selling tickets for a play. The tickets cost $10 each, and they sold 150 tickets. Write an equation to represent the total revenue (R) based on the number of tickets sold (t). What is the slope of this equation?

• 10

• 20

• 15

• 5

A bike rental shop charges a one-time fee of $15 and $5 per hour. Write an equation for the total cost (C) based on the number of hours (h) the bike is rented. Calculate the slope of this equation.

• The slope of the equation is 15.

• The slope of the equation is 10.

• The slope of the equation is 3.

• The slope of the equation is 5.

A train travels from City A to City B, covering a distance of 120 miles in 2 hours. Write an equation to represent the relationship between distance (d) and time (t). What is the slope of this equation?

• 60

• 90

• 30

• 120

A store sells notebooks for $3 each and pens for $2 each. If a student buys 4 notebooks and 3 pens, write an equation for the total cost (C) based on the number of notebooks (n) and pens (p). What is the slope of the line representing the cost?

• The slope of the line representing the cost is 3 for notebooks and 2 for pens.

• The slope of the line is 4 for notebooks and 3 for pens.

• The slope of the line is 5 for notebooks and 1 for pens.

• The slope of the line is 2 for notebooks and 3 for pens.

A swimming pool is being filled with water at a rate of 10 gallons per minute. Write an equation to represent the total volume of water (V) in gallons after t minutes. What is the slope of this equation?

• The slope of the equation is 15.

• The slope of the equation is 20.

• The slope of the equation is 5.

• The slope of the equation is 10.

A delivery service charges a base fee of $25 plus $1.50 per mile. Write an equation for the total cost (C) based on the distance (d) in miles. Calculate the slope of this equation.

• 1.50

• $3.00

• $2.00

• $1.25

A factory produces 200 toys in 5 hours. Write an equation to represent the number of toys produced (T) over time (h). What is the slope of this equation?

• T = 50h; slope = 50

• T = 80h; slope = 80

• T = 40h; slope = 40

• T = 20h; slope = 20

A restaurant's revenue increases by $200 for every additional 10 customers. Write an equation to represent the revenue (R) based on the number of customers (c). What is the slope of this equation?

• The slope of the equation is 50.

• The slope of the equation is 10.

• The slope of the equation is 30.

• The slope of the equation is 20.