Mastering Linear Equations: Real-World Word Problems

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

• 1.00

• 0.20

• 0.50

• 0.10

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 a linear equation to represent the number of flowers (f) planted in terms of time (t) and find the slope.

• 15 flowers

• 25 flowers

• 10 flowers

• 20 flowers

A phone plan costs $30 per month plus $0.10 for each text message sent. Write the equation for the total cost (C) based on the number of text messages (m) sent. What does the slope represent in this context?

• C = 30m + 0.10; the slope represents the total monthly cost.

• C = 0.10m; the slope represents the total number of messages sent.

• C = 30 + 0.10m; the slope (0.10) represents the cost per text message.

• C = 30 + 0.05m; the slope represents the base cost of the plan.

A train travels at a constant speed of 60 miles per hour. Write a linear equation that represents the distance (d) traveled in terms of time (t) in hours. What is the slope of this equation?

• d = 60t + 10; slope = 60

• d = 45t; slope = 45

• d = 30t; slope = 30

• d = 60t; slope = 60

A cyclist rides 15 miles in 1 hour. If he continues at the same speed, how far will he ride in 4 hours? Write a linear equation for distance (d) in terms of time (t) and find the slope.

• 30 miles

• 60 miles

• 45 miles

• 75 miles

A delivery service charges a base fee of $10 plus $1.50 per mile. Write a linear equation for the total charge (C) based on the number of miles (m) driven. What does the slope indicate?

• C = 10 + 1.5m; The slope indicates the charge per mile.

• C = 10 + 0.5m; The slope indicates the total cost of delivery.

• C = 10 + 2m; The slope indicates the total distance traveled.

• C = 5 + 1.5m; The slope indicates the base fee.

A factory produces 100 toys in 5 hours. If production continues at the same rate, how many toys will be produced in 10 hours? Write a linear equation for toys produced (T) in terms of hours (h) and find the slope.

• 150 toys

• 250 toys

• 200 toys

• 300 toys

A swimming pool is filled at a rate of 200 gallons per hour. Write a linear equation for the total gallons (G) in terms of time (t) in hours. What is the slope of this equation?

• G = 150t; slope = 150

• G = 200t; slope = 200

• G = 100t; slope = 100

• G = 200t + 50; slope = 200

A taxi charges a flat fee of $3 plus $2 per mile. Write a linear equation for the total fare (F) based on the number of miles (m) traveled. What does the slope represent in this scenario?

• F = 2m; the slope represents the distance traveled.

• F = 2 + 3m; the slope represents the initial fee.

• F = 3m + 2; the slope represents the total fare.

• F = 3 + 2m; the slope represents the cost per mile.