Final answer:
The slope-intercept form y = cx + s and the point-slope form y - y1 = c(x - x1) both represent the situation, with 'c' indicating the cost per invitation.
Step-by-step explanation:
When dealing with the total price of a printing job that includes a cost per invitation plus a one-time set-up fee, we can model this situation using linear equations.
Let's say the cost per invitation is c dollars, and the one-time set-up fee is s dollars.
If x represents the number of invitations, the total cost, y, can be represented by the slope-intercept form and the point-slope form of a linear equation.
In the slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept, the equation for our situation would be y = cx + s.
The coefficient of x in this equation, which is c, represents the cost per invitation.
In the point-slope form, y - y1 = m(x - x1), for one particular invitation, let's say we know the cost for x1 invitations which is y1, our equation would be y - y1 = c(x - x1).
Again, the slope c is the cost per invitation.