Constant Rate of Change
Slope
Equations in y=mx form
Direct Variation
100
How do you determine constant rate of change?
Answers Vary
100
How do you calculate slope from a graph?
Count rise and run. Rise/Run
100
What does the "m" represent in the equation y= mx?
Slope
100
How is constant of variation and slope related?
They are the same!
200
Determine the constant rate of change from the picture
4.3 Calories per minute.
200
Determine the slope of the line that passes through each pair of points. A(2, 3), B(1, 5)
-2
200
Determine and interpret the slope from the picture.
3 cups of flower per 1 batch of cookies
200
Determine the constant of variation
8
300
Determine the Constant Rate of Change
5/8 cups of juice per cup of soda
300
Determine the slope of the line that passes through each pair of points. C(-6, 1), D(2, 1)
0
300
What does the (0,0) represent from the graph?
Zero cups of flower are needed for zero batches of cookies.
300
If y = 16 when x = 4, determine y when x = 9.
36
400
Interpret the relationship between the cost in dollars and the length in minutes for Company A then write as a constant rate of change.
Company A increases $0.25 per minute.
400
Describe zero slope
Slope that has zero for rise. 0/#; Flat line
400
Kyle earned $100 for detailing 2 cars. The amount of money earned by Kyle for detailing y and the number of cars he detailed x are in a proportional linear relationship. This situation can be represented by y = 50x. Determine and interpret the slope
Kyle earns $50 per car.
400
If y = –7 when x = –21, determine x when y = 9.
27
500
Interpret the relationship between the cost in dollars and the length in minutes for Company C then write as a constant rate of change.
Increases $0.05 per minute
500
Describe an undefined slope
Slope with zero for run; #/0; Straight up and down line.
500
A jogger can jog 3 miles in 15 minutes and 18 miles in 1 and a half hours. If the number of miles and the time are in a proportional linear relationship, at what rate is the jogger jogging per hour?
12 miles per hour
500
Bruce rents snowmobiles to tourists. He charges $135 for 4 hours and $202.50 for 6 hours? What is the hourly rate Bruce charges to rent a snowmobile?
$33.75