Answer:
Part A) The graph in the attached figure
Part B) [tex]y=2.40x[/tex]
Step-by-step explanation:
Let
y------> the price of gas
x-----> the volume of gas purchase
we know that
The relationship between the cost of gas and the volume purchase represent a direct variation and remember that a relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y=kx[/tex]
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
In this problem the constant of proportionality k is equal to
[tex]m=k=2.40\frac{\$}{gallon}[/tex]
and the y-intercept b is equal to zero because the line passes through the origin
[tex]b=0[/tex]
therefore
the linear equation is
[tex]y=2.40x+0[/tex]
[tex]y=2.40x[/tex]
using a graphing tool
see the attached figure
