Slope in Real Life

A ski slope descends 150 feet for every 100 feet of horizontal distance. What is the slope of this ski slope?

A line in a graph passes through the points (-2, -1) and (2, 3). What is the slope of this line?

• 1

• 2

• -1

• -2

Given two points (5, 5) and (10, 15), how do you calculate the slope of the line connecting them?

• Subtract the y-coordinates and divide by the difference of the x-coordinates

• Subtract the x-coordinates and divide by the difference of the y-coordinates

• Add the x-coordinates and divide by the sum of the y-coordinates

• Add the y-coordinates and divide by the sum of the x-coordinates

John cleans carpets of different areas. He uses this graph to work out the cost of cleaning a carpet.

It costs £150 to clean a carpet, what is its area?

How long did this object take to travel the first 300m?

• 10s

• 20s

• 30s

• 40s

What is the speed of the object between B and C?

• Distance = 500m, Time = 50s,

  Speed = Distance/time = 500/50 = 10m/s

• Distance = 500-200 = 300m, Time = 50-35 = 15s

  Speed = Distance/time = 300/15 = 20m/s

You can calculate the slope of parts of distance-time graphs. What would the slope tell you?

• The distance travelled by the object.

• The speed of the object.

• The acceleration of the object.

At which parts of the graph has this object stopped for a break (not moved)?

• OA (between O and A)

• AB (between A and B)

• BC (between B and C)

Which of the following situations could be descried by the equation y= -25x + 120

• There are 120 people in the football stadium, and 25 more are entering each hour.

• A plumber charges $25 for a house call and $120 per hour.

• A teacher has 120 students. Her third period has 25 students

• There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute

A camp charges families a fee of $625 per month for one child and a certain amount more per month for each additional child. Use the graph to write an equation in slope-intercept form to represent the amount a family with x additional children would pay.

• y = 625x + 225

• y = 225x 

• y = 225x + 625

• y =  625