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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

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MrRoyal

Answer:

[tex](a)\ y = 26 + 0.44x[/tex]

[tex](b)\ 114\ copies[/tex]

Step-by-step explanation:

Given

[tex]Base\ Charge = \$26[/tex]

[tex]Rate = 44c[/tex] per copy

Solving (a): Linear Equation

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

So, we have:

[tex]y = 26 + 0.44 * x[/tex]

The 0.44 is 44 cents converted to dollars

[tex]y = 26 + 0.44x[/tex]

Solving (b): Purchase if he budgets $76.16

This implies that y = 76.16

So, we have:

[tex]y = 26 + 0.44x[/tex]

[tex]76.16 = 26 + 0.44x[/tex]

Collect like terms

[tex]0.44x = 76.16 - 26[/tex]

[tex]0.44x = 50.16[/tex]

Solve for x

[tex]x = \frac{50.16}{0.44}[/tex]

[tex]x = 114[/tex]

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