Answer:
[tex]y=12x+5[/tex]
The graph in the attached figure
Step-by-step explanation:
The question is
Write an equation and make a graph that represents the total cost
Let
x ----> the number of books
y ---> the total cost in dollars
we know that
The linear equation in slope intercept form is equal to
[tex]y=mx+b[/tex]
In this problem we have
The slope or unit rate is equal to
[tex]m=\$12\ per\ book[/tex]
The y-intercept is the fee for shipping and handling charges
[tex]b=\$5[/tex]
substitute
[tex]y=12x+5[/tex]
To graph the line we need minimum two points
we have the y-intercept (0,5)
Find another point
For x=2
[tex]y=12(2)+5=29[/tex]
The other point is (2,29)
Plot the points, connect them and join to graph the line
The graph in the attached figure
Remember that the value of x and the value of y cannot be a negative number
