IM 7.2.14 Practice: Four Representations

[size=150]The equation [math]c=2.95g[/math] shows how much it costs to buy gas at a gas station on a certain day. In the equation, [math]c[/math] represents the cost in dollars, and [math]g[/math] represents how many gallons of gas were purchased.[/size][br][br]Write down at least four (gallons of gas, cost) pairs that fit this relationship.

Create a graph of the relationship.

What does 2.95 represent in this situation?

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

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.

On the graph above:

Plot and label at least two more points that represent the relationship.[br]Use a straightedge to draw a line that represents this proportional relationship.[br][br]For which value y is [math]\left(1,y\right)[/math] on the line you just drew?

What is the constant of proportionality for this relationship?

Write an equation representing this relationship. Use [math]c[/math] for cups and [math]t[/math] for tablespoons.

IM 7.2.14 Practice: Four Representations

Create a graph of the 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.

On the graph above:

Information: IM 7.2.14 Practice: Four Representations