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

Answer:

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

$(b)\ 114\ copies$

Step-by-step 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

$x = \frac{50.16}{0.44}$

$x = 114$