Respuesta :
Answer:
Step-by-step explanation:
Let n represent the number of copies made.
Let y represent the cost of making n copies.
If we plot y on the vertical axis and n on the horizontal axis, a straight line would be formed. The slope of the straight line would be
Slope, m = (66 - 48)/(197 - 50)
m = 18/147 = 0.122
The equation of the straight line can be represented in the slope-intercept form, y = mx + c
Where
c = intercept
m = slope
To determine the intercept, we would substitute x = 66, y = 48 and m = 0.122 into y = mx + c. It becomes
48 = 0.122 × 66 + c = 8.052 + c
c = 48 - 8.052
c = 39.948
The linear function that describes the cost of a printing job would be
y = 0.122n + 39.948
Answer:
[tex]C(n) = \dfrac{6156}{147} + \dfrac{18}{147}(n)[/tex]
where n is the number of flyers.
Step-by-step explanation:
we are given the following in the question:
Let x be the fixed cost and y be the variable cost for every flyer in dollars.
Cost of 50 copies = $48
Thus, we can write he equation:
[tex]x + 50y = 48[/tex]
Cost of 197 copies = $66
Thus, we can write the equation:
[tex]x + 197y = 66[/tex]
Solving the two equation by elimination, we get,
[tex]x + 197y - (x + 50y) = 66-48\\(197-50)y = 18\\147y = 18\\y = \dfrac{18}{147}\\\\x = 48 - \dfrac{18}{147}(50)\\\\x = \dfrac{6156}{147}[/tex]
Thus, we can write the cost function as:
[tex]C(n) = \dfrac{6156}{147} + \dfrac{18}{147}(n)[/tex]
where n is the number of flyers.
