To find the equation of the line that represents the relationship between the number of brochures (x) and the total cost (y), we can use the two-point form of a linear equation.
First, we need to identify two points on the line. Looking at the table, we can choose the points (40, $600.00) and (55, $637.50).
Using the two-point form: y - y1 = ((y2 - y1)/(x2 - x1)) * (x - x1), we can plug in the values to find the equation.
Using the point (40, $600.00):
y - 600 = ((637.50 - 600)/(55 - 40)) * (x - 40)
Simplifying the equation:
y - 600 = (37.50/15) * (x - 40)
y - 600 = 2.50 * (x - 40)
y - 600 = 2.50x - 100
y = 2.50x + 500
Therefore, the equation that represents the relationship between the number of brochures (x) and the total cost (y) is y = 2.50x + 500.
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
1 answer
1 answer