University:
Missouri State University
Course:
MTH 103 | Intermediate Algebra
Academic year:

2019
Views:

159

Pages:

8
Author:

laqala0uk

Name: Xey Notes: Constant of Proportionality from a Graph (Day 2) Remember this chart from yesterday? Number of tickets (x) 0 1 ADMIT INO Total cost (y) 2 0 8 16 3 24 4 32 5 40 Now let's graph the items from the chart. Total cost ($) 40 32 24 16 8 0 0 1 2 3 4 5 Date: Number of tickets Pick any point on the graph (aside from the origin) and write a ratio of the "y" value to the "x" value. This is the constant of proportionality. The general formula is k = y value x value and we can write an equation in the form y = kx. straight line and it By looking at a graph, we can tell the relationship is proportional if the graph is a passes through the Ex. 1: The graph below represents the distance traveled in a car. Is the relationship proportional? If so, tell the constant of proportionality and write an equation. Miles 200 160 120 40 Number of hours k=40 Ex. 2: Does the graph below represent a proportional relationship? If so, tell the constant of proportionality and write an equation. Total Water Consumed liter 60 50 40 30 20 10 2 Days = =10% Ex. 3: Does the graph below represent a proportional relationship? If so, tell the constant of proportionality and write an equation. Ex. 4: Does the graph below represent a proportional relationship? If so, tell the constant of proportionality and write an equation. 10 7 10 Ro... it does not post through the origin Ex. 5: Does the graph below represent a proportional relationship? If so, tell the constant of proportionality and write an equation. 10 1 Ex. 6: Does the graph below represent a proportional relationship? If so, tell the constant of proportionality and write an equation. 10 7 6 5 8 Ex. 7: Draw a graph that shows a constant of proportionality of 10 9 7 4 Name: Key Constant of Proportionality fi 1. The graph below represents the total number of plants and number of seed packets used. What is the constant of proportionality? Write an equation. 2. TI total prop 50 40 30 20 Total Number of Plants 10 0 1 2 3 4 5 Number of seed packets 3. The graph below represents the packets of biscuits consumed aver time. What is the constant of proportionality? Write an equation. Packets of biscuit 0 1 2 3 25 20 15 10 5 Days 4 5 k=5=5 Date: From a Graph Practice - Day 2 he graph below represents the total number of cups of coffee and the amount of sugar required to make the coffee. What is the constant of ortionality? Write an equation. 100 80 60 40 20 0 4 8 12 16 20 Sugar (pounds) 205 4 54 1. The graph below represents the chocolate consumed by people. What is the constant of proportionality? Write an equation. 30 24 18 12 6 Chocolates 0 3 6 9 People 12 15 == 3 =24