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.
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.
1 answer
1 answer