Question

Cost for copies is a linear function of the number of copies. If 125 copies cost $29.00, and 175 copies cost $37.00 write a formula for copy cost as a linear function of the number of the copies. Then find out how much it would cost to make 700 copies

Answer 1

Answer:

700 copies would cost $121

Step-by-step explanation:

Given that 125 copies cost $29.00, and 175 copies cost $37.00.

Since the cost is a linear function, we use the formula:

`\begin{gathered} y=y_1+((y_2-y_1)/(x_2-x_1))(x-x_(1)) \\ \\ x_1=125 \\ y_1=29 \\ x_2=175 \\ y_2=37 \\ x=700 \end{gathered}`

So,

`\begin{gathered} y=29_{}+(\frac{37_{}-29_{}}{175_{}-125_{}})(700-125)_{} \\ \\ =29+0.16(575) \\ =121 \end{gathered}`

700 copies would cost $121