7th Grade Slope: Writing Equations from Word Problems

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

• d = 45t; slope = 45

• d = 30t; slope = 30

• d = 60t + 10; slope = 60

• d = 60t; slope = 60

A bike rental shop charges a flat fee of $10 plus $5 for each hour the bike is rented. Write an equation for the total cost (C) in terms of hours rented (h). What does the slope represent in this context?

• C = 5 + 10h; the slope represents the initial fee for renting the bike.

• C = 10 + 5h; the slope represents the cost per hour of renting the bike.

• C = 10h + 5; the slope represents the total cost of renting the bike.

• C = 5h; the slope represents the number of bikes rented.

A student is saving money for a new video game. She saves $15 each week. Write an equation that represents her total savings (S) after w weeks. What is the slope of this equation?

• S = 15w; slope = 15

• S = 20w; slope = 20

• S = 10w; slope = 10

• S = 15w + 5; slope = 5

A gardener is planting flowers in a straight line. If he plants 3 flowers every 2 feet, write an equation that represents the number of flowers (f) in terms of the distance (d) in feet. What is the slope of this equation?

• f = 2 * d; slope = 2

• f = 1.5 * d; slope = 1.5

• f = (3/2) * d; slope = 1.5

• f = 4 * d; slope = 2

A train travels from City A to City B, covering a distance of 150 miles in 3 hours. Write an equation for the train's speed (s) in terms of time (t). What is the slope of this equation?

• The slope of the equation is 50.

• The slope of the equation is 30.

• The slope of the equation is 75.

• The slope of the equation is 0.

A restaurant's revenue increases by $200 for every additional table they add. Write an equation for the revenue (R) in terms of the number of tables (t). What does the slope indicate?

• R = 100t

• R = 200 + t

• R = 200t

• R = 200t + 50

A runner completes a 5K race in 25 minutes. If the runner maintains a constant pace, write an equation for the distance (d) in terms of time (t) in minutes. What is the slope of this equation?

• d = 250t; slope = 250

• d = 100t; slope = 100

• d = 200t; slope = 200

• d = 150t; slope = 150

A phone company charges a monthly fee of $30 plus $0.10 per text message sent. Write an equation for the total bill (B) in terms of the number of text messages (m). What does the slope represent?

• B = 30 + 0.05m; the slope represents the total monthly fee.

• B = 30m + 0.10; the slope represents the fixed cost.

• B = 0.10 + 30m; the slope represents the number of text messages.

• B = 30 + 0.10m; the slope represents the cost per text message.

A factory produces 100 toys in 2 hours. Write an equation that represents the number of toys (T) produced in terms of time (h). What is the slope of this equation?

• T = 75h; slope = 75

• T = 50h; slope = 50

• T = 100h; slope = 100

• T = 25h; slope = 25

A student is reading a book that has 300 pages. If she reads 15 pages each day, write an equation for the number of pages read (p) in terms of days (d). What is the slope of this equation?

• p = 15d; slope = 15

• p = 15d + 5; slope = 15

• p = 20d; slope = 20

• p = 10d; slope = 10