Question

The total price of a printing job at Incredible Invites includes the cost per invitation plus a​ one-time set-up fee. Write equations in​ point-slope and​ slope-intercept forms to model the situation. What part of the equations represents the cost per​ invitation

Answer 1

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.

Answer 2

Step-by-step explanation:

To model the situation of the total price of a printing job at Incredible Invites, we can use both point-slope and slope-intercept forms.

1. Point-slope form: The equation in point-slope form can be written as follows:

y - y1 = m(x - x1)

In this case, let's assume that x represents the number of invitations and y represents the total price of the printing job. The cost per invitation can be denoted by m, which represents the slope of the line. The point (x1, y1) represents a specific point on the line.

2. Slope-intercept form: The equation in slope-intercept form can be written as follows:

y = mx + b

In this equation, m represents the slope (cost per invitation), and b represents the y-intercept, which is the one-time set-up fee.

In both equations, the cost per invitation is represented by the slope, denoted by m. It is the coefficient of x in the equations. This means that the coefficient of x (m) represents the cost per invitation in both the point-slope and slope-intercept forms.