Write your own real-world situations for a proportional relationship, a linear equation, and a linear inequality.
Include a table of values, an equation/inequality, and a graph for each situation.
Proportional Relationship
Situation:
Table:
Equation:
Graph:
An empty coordinate plane shows the first quadrant with a 20 by 20 grid.
Linear Equation
Situation:
Table:
Equation:
Graph:
An empty coordinate plane shows the first quadrant with a 20 by 20 grid.
Linear Inequality
Situation:
Table:
Equation:
Graph:
An empty coordinate plane shows the first quadrant with a 20 by 20 grid.
Proportional Relationship:
Situation: The cost of renting a car is directly proportional to the number of days for which it is rented. The rental company charges $30 per day.
Table:
Days (x) Cost (y)
1 $30
2 $60
3 $90
4 $120
5 $150
Equation: y = 30x
Graph: The graph is a straight line passing through the origin (0,0) with a slope of 30.
Linear Equation:
Situation: A bakery sells cupcakes for $2 each. The total revenue (r) earned by selling x number of cupcakes is given by the equation r = 2x.
Table:
Cupcakes (x) Revenue (r)
1 $2
2 $4
3 $6
4 $8
5 $10
Equation: r = 2x
Graph: The graph is a straight line passing through the origin (0,0) with a slope of 2.
Linear Inequality:
Situation: A store is offering a discount on shoes priced at $50 each. The inequality to represent the situation is 50x ≥ 200, where x is the number of shoes bought to qualify for the discount.
Table:
Shoes (x) Total Cost
1 $50
2 $100
3 $150
4 $200
Inequality: 50x ≥ 200
Graph: The graph is a straight line passing through the points (4,200) and (0,200) with the area shaded above the line to represent values that are greater than or equal to 200.