Exploring Negative Slopes and Graphing Linear Equations

A car travels down a hill that has a slope of -3. If the car starts at a height of 12 meters, what will be its height after traveling 2 meters down the hill?

• 6 meters

• 4 meters

• 10 meters

• 8 meters

A company's profit decreases by $150 each month. If the profit was $1,200 at the start of the year, what will the profit be after 6 months?

• $300

• $900

• $150

• $600

A bike rental shop charges a fee of $20 for the first hour and then decreases the price by $5 for each additional hour. Write the equation for the total cost based on the number of hours rented and graph it.

• C(h) = 15 + 5h for h >= 1

• C(h) = 25 - 5(h - 1) for h >= 1

• C(h) = 20 - 5h for h >= 1

• C(h) = 20 + 5(h - 1) for h >= 1

The temperature in a city drops by 2 degrees every hour. If the temperature is currently 20 degrees, what will the temperature be after 5 hours?

• 8 degrees

• 15 degrees

• 12 degrees

• 10 degrees

A student scores 90 points on a test and loses 5 points for each incorrect answer. If the student answered 4 questions incorrectly, what is the final score?

• 85

• 80

• 70

• 75

A plant grows 3 inches in the first week but then shrinks by 1 inch each subsequent week. Write a linear equation to represent the height of the plant over time and identify the slope.

• height = 4 - n; slope = -1

• height = 2n + 1; slope = 2

• height = 3n + 1; slope = 3

• height = 5 - n; slope = -2

A delivery truck starts with 500 packages and loses 25 packages each hour. Write the equation that represents the number of packages left after 'h' hours and graph it.

• packages_left = 500 - 25h

• packages_left = 500 - 10h

• packages_left = 500 + 25h

• packages_left = 25h

A runner's speed decreases by 0.5 meters per second every minute. If the runner starts at a speed of 6 meters per second, what will be the speed after 10 minutes?

• 2 meters/second

• 1 meter/second

• 3 meters/second

• 4 meters/second

A store's sales decrease by $200 each month. If the sales were $5,000 at the beginning of the year, what will the sales be after 8 months?

• $4000

• $5000

• $2800

• $3400

A mountain trail descends at a rate of -4 feet for every 1 mile walked. If a hiker starts at an elevation of 1,200 feet, what will be the elevation after walking 3 miles?

• 1200 feet

• 1190 feet

• 1175 feet

• 1188 feet