In order to determine the additional fee per brochure and the printing fee, we need to find the equation of the linear relationship between the number of brochures and the total cost.
Using the given data points, we can use the two-point form of a linear equation to find the equation of the line:
(y - y1) = [(y2 - y1)/(x2 - x1)](x - x1)
Using the points (40, $600.00) and (52, $630.00):
(y - 600.00) = [(630.00 - 600.00)/(52 - 40)](x - 40)
(y - 600.00) = [30.00/12](x - 40)
(y - 600.00) = 2.50(x - 40)
y - 600.00 = 2.50x - 100.00
y = 2.50x + 500.00
From the equation, we can see that the coefficient of x (2.50) represents the additional fee per brochure and the constant term (500.00) represents the printing fee.
Therefore, the correct statement is:
C. The additional fee per brochure is $2.50.
Martha is printing brochures for Barton Middle School's STEM Night. The printing company charges a printing fee plus an additional fee per brochure printed. The table shows the linear relationship
between the number of brochures and the total cost of printing, including the printing fee.
Number of brochures, x
40
43
45
52
55
Total cost, y
$600.00
$607.50
$612.50
$630.00
$637.50
Which statement is true?
A. The additional fee per brochure is $7.50.
B. The printing fee is $2.50.
C. The additional fee per brochure is $2.50.
D. The printing fee is $250.
1 answer