Open Up - Grade 7 - Mathematics - Unit 2 - Lesson 14

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Last updated about 3 years ago
8 Questions

The equation c = 2.95g shows how much it costs to buy gas at a gas station on a certain day. In the equation, c represents the cost in dollars, and g represents how many gallons of gas were purchased.

Using the equation above match the values. (g is on the left, c is on the right.)

2
2.95
10
5.90
20
29.50
1
59.00

The equation c = 2.95g shows how much it costs to buy gas at a gas station on a certain day. In the equation, c represents the cost in dollars, and g represents how many gallons of gas were purchased.

Create a graph of the relationship.

The equation c = 2.95g shows how much it costs to buy gas at a gas station on a certain day. In the equation, c represents the cost in dollars, and g represents how many gallons of gas were purchased.

What does 2.95 represent in this situation?

The equation c = 2.95g shows how much it costs to buy gas at a gas station on a certain day. In the equation, c represents the cost in dollars, and g represents how many gallons of gas were purchased.

Jada’s mom remarks, “You can get about a third of a gallon of gas for a dollar.” Is she correct?

There is a proportional relationship between a volume measured in cups and the same volume measured in tablespoons. 3 cups is equivalent to 48 tablespoons, as shown in the graph.


Plot and label at least two more points that represent the relationship.

Use a straightedge to draw a line that represents this proportional relationship.

There is a proportional relationship between a volume measured in cups and the same volume measured in tablespoons. 3 cups is equivalent to 48 tablespoons, as shown in the graph.


For which value y is (1,y) on the line you just drew?

There is a proportional relationship between a volume measured in cups and the same volume measured in tablespoons. 3 cups is equivalent to 48 tablespoons, as shown in the graph.


  1. What is the constant of proportionality for this relationship?

There is a proportional relationship between a volume measured in cups and the same volume measured in tablespoons. 3 cups is equivalent to 48 tablespoons, as shown in the graph.


  1. Write an equation representing this relationship. Use c for cups and t for tablespoons.

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