Linear Equation: A printer will produce 80 wedding invitations for $210. The price to produce 120 invitations is $290. The printer uses a linear function to determine the price for producing different amounts of invitations. How much will the printer charge to produce 60 invitations?

The printer will charge $170 to produce 60 invitations.

The solution is as follows:

Since we are using a linear function, we shall use the equation y = mx + b

(x1, y1) = (80, 210) and (x2, y2) = (120, 290)

Solving for m:

m = (y2 - y1) / (x2-x1)

= 80/40

= 2

Moving forward:

y=2x + b, using x1 & y1 of (80, 210), the equation will be

210 = 2 (80) + b

b = 210 - 2 (80)

b = 50

y = 2x + 50

Let x = 60, solving for y

y = 2 (60) + 50

y = 120 + 50

y = 170