Question

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 how many gallons of gas were ppurchased.

Answer 1

The function of the equation is given below as

`c=2.95g`

To figure out pairs, we will assume values of g to be 1,2 3,4

Substitute when g is =1

`\begin{gathered} c=2.95g \\ c=2.95*1 \\ c=2.95 \end{gathered}`

Substitute when g = 2

`\begin{gathered} c=2.95g \\ c=2.95*2 \\ c=5.9 \end{gathered}`

Substitute when g = 3

`\begin{gathered} c=2.95g \\ c=2.95*3 \\ c=8.85 \end{gathered}`

Substitute when g = 4

`\begin{gathered} c=2.95g \\ c=2.95*5 \\ c=11.8 \end{gathered}`

Hence,

Four pairs that fit in the relationship are

( 1, 2.95 )

( 2, 5.9 )

( 3, 8.85 )

( 4, 11.8 )

b) Sketch a graph of the relationship

The table of values are

The graph of the equation is given below as

C) What does the 2.95 represent?

The 2.95 represents the slope or gradient of the graph

d) Jada's mom said you can get about a third of a gallon of gas for one dollar

The relationship between the cost and the gallons is given below as

`C=2.95g`

Approminatin the values 2.95 to the nearest whole number, we will have the value to be

`2.95\approx3\text{ (nearest whole number)}`

So we can say that

`c=3g`

A third of a gallon is

`g=(1)/(3)*1=(1)/(3)`
`\begin{gathered} c=3g \\ c=3*(1)/(3) \\ c=1\text{ dollar} \end{gathered}`

Hence,

Jada's mom is correct because a third of a gallon can be approximately bought from one dollar