Question

Copy Mark charges $26 + 44 cents per copy to produce promotional brochures a royal linear equation that relates the cost c in dollars of copies to the number x of copies made and b how many brochures can Steve purchase if he had a budget of $76.16

Answer 1

`(a)\ y = 26 + 0.44x`

`(b)\ 114\ copies`

Explanation:

Given

`Base\ Charge = \$26`

`Rate = 44c` per copy

Solving (a): Linear Equation

The total charges (y) is: the base charge + the rate * number of copies (x).

So, we have:

`y = 26 + 0.44 * x`

The 0.44 is 44 cents converted to dollars

`y = 26 + 0.44x`

Solving (b): Purchase if he budgets $76.16

This implies that y = 76.16

So, we have:

`y = 26 + 0.44x`

`76.16 = 26 + 0.44x`

Collect like terms

`0.44x = 76.16 - 26`

`0.44x = 50.16`

Solve for x

`x = (50.16)/(0.44)`

`x = 114`