Question

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.

1. Write down four (gallons of gas, cost) pairs that fit this relationship.

2. Create a table or graph of the relationship. (I'd prefer a table so I can make it into a graph but whatevers fine if you wanna put an image or link)

3. What does 2.95 represent in this situation?

4. 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?

Answer 1

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

(a) four (gallons of gas, cost) pairs that fit this relationship.

Plug in some values for g  and find out C

c = 2.95g

g= 1, C= 2.95(1) = 2.95

g= 2, C= 2.95(2) = 5.9

g= 3, C= 2.95(3) = 8.85

g= 4, C= 2.95(4) = 11.8

four pairs are (1,2.95) (2,5.9) (3,8.85) (4,11.8)

2. Create a table or graph of the relationship.

Use the above points we got from part (a) for graphing

The graph is attached below

(3)  What does 2.95 represent in this situation?

g= 1, C= 2.95(1) = 2.95

This means when 1 gallon purchased then the cost is 2.95 dollars

2.95 represents the cost of 1 gallon of gas

(4) Jada's mom remarks, "You can get about a third of a gallon of gas for a dollar."

c = 2.95g

c is the cost , and g is gallons

cost is 1 dollar so we replace c with 1

1 = 2.95 g

Divide by 2.95 on both sides

$g=\frac{1}{2.95}$

That is one third of a gallon of gas

So she is correct.