Mastering Negative Slopes: Identify and Calculate Slope

1. A car rental company charges a base fee of $50 and $10 for each additional day. Write the equation for the total cost (C) in terms of days (d). What is 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 50.

• The slope of the equation is 5.

2. If a line representing the temperature in a city decreases by 2 degrees for every hour, and starts at 20 degrees, write the slope-intercept form of the equation. What is the slope?

• The slope is -1.

• The slope is 0.

• The slope is -2.

• The slope is 2.

3. A skateboard ramp is designed to decrease in height by 3 feet for every 4 feet of horizontal distance. If the ramp starts at 12 feet, what is the slope of the ramp?

• 0.5

• -0.75

• -1.5

• -2.0

4. A store's sales decrease by $5 for every item returned. If the initial sales were $200, write the equation for sales (S) in terms of items returned (r). What is the slope?

• S = 200 + 5r; slope = 5

• S = 200 - 10r; slope = -10

• S = 200 - 5r; slope = -5

• S = 200 - r; slope = -1

5. A bike rental service charges $15 for the first hour and $5 for each additional hour. Write the equation for the total cost (C) in terms of hours (h). What is 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 5.

• The slope of the equation is 20.

6. A mountain trail descends at a rate of 1.5 feet for every 1 foot traveled horizontally. If the trail starts at 100 feet, what is the slope of the trail?

• 0.5

• -1.5

• -0.5

• 1.5

7. A factory produces 100 units of a product, but production decreases by 10 units for every hour of machine downtime. Write the equation for production (P) in terms of downtime (d). What is the slope?

• P = 100 + 10d; slope = 10

• P = 90 - 10d; slope = -10

• P = 100 - 5d; slope = -5

• P = 100 - 10d; slope = -10

8. A water tank is leaking at a rate of 2 gallons per hour. If it starts with 50 gallons, write the equation for the amount of water (W) in terms of time (t). What is the slope?

• W = 50 - 3t; slope = -3

• W = 50 - t; slope = -1

• W = 50 + 2t; slope = 2

• W = 50 - 2t; slope = -2

9. A student’s grade decreases by 5 points for every missed assignment. If the starting grade is 90, write the equation for the grade (G) in terms of missed assignments (m). What is the slope?

• G = 85 - 5m; slope = -5

• G = 90 - 5m; slope = -5

• G = 90 + 5m; slope = 5

• G = 90 - 10m; slope = -10

10. A tree grows at a rate of -1.2 feet per year after reaching its maximum height of 15 feet. Write the equation for the height (H) in terms of years (y). What is the slope?

• H = 15 - 0.5y; slope = -0.5

• H = 10 - 1.2y; slope = -1.2

• H = 15 - 1.2y; slope = -1.2

• H = 15 + 1.2y; slope = 1.2