Chapter 3: Worksheet #7 Name:____________ 1. Which graphs represent a partial variation? 2. Identify the rate of change (slope) and the initial value (y-intercept) for each table. Write the equation of each line. Determine if the relationship is direct or partial. Rate of change = Initial Value = Equation: Direct Relationship or Partial Relationship

Rate of change = Initial Value = Equation: Direct Relationship or Partial Relationship Rate of change = Initial Value = Equation: Direct Relationship or Partial Relationship Rate of change = Initial Value = Equation: Direct Relationship or Partial Relationship

3. A large pizza with cheese and sauce is $11. 50 3. A large pizza with cheese and sauce is $11.50. Each additional topping is $1.50. Create a table of values showing the total cost of a pizza for 0 to 6 additional toppings. Write an equation to represent the this relationships. How do you know that the relationship between cost and number of toppings is a partial variation? Toppings cost 1 2 3 4 5 6 Rate of change = Initial Value = Equation: Direct Relationship or Partial Relationship 4. Which equations represent a relationship with partial variation? A) P = 4s B) d = 80t C) y = 3x D) A = l x w E) C = 70 + 65t F) y = −6x + 2 G) E = 12.5h H) y = x 5. For each partial variation equation in #4, determine the slope and y-intercept of its graph.

6. A car enters a highway on ramp going 50 km/h 6. A car enters a highway on ramp going 50 km/h. Then, the driver accelerates to highway speed. The speed of the car on the ramp can be modelled with the equation s = 50 + 10t, where s is the speed of the car, in kilometres per hour, and t is time, in seconds. a) What part of the equation is constant or fixed? What does this represent? b) What part of the equation varies over time? What does this represent? c) Determine the speed of the car after 2 seconds. d) How long will it take the car to reach a speed of 90 km/h? e) Describe what a graph of the equation would look like.