Respuesta :

Answer:

A. [tex]y=\frac{3}{4} x[/tex] B. 25% discount

Step-by-step explanation:

PART A:

For the shirt:

[tex]y=[/tex]Sale price of the shirt=$18

[tex]x=[/tex]Cost of the shirt=$24

Now, [tex]\frac{x}{y} =\frac{24}{18} =\frac{4}{3}[/tex]

⇒[tex]y=\frac{3}{4}x[/tex]

For the pair of shoes:

[tex]y=[/tex]Sale price of the pair of shoes=$42

[tex]x=[/tex]Cost of the pair of shoes=$56

Now, [tex]\frac{x}{y} =\frac{56}{42} =\frac{4}{3}[/tex]

⇒[tex]y=\frac{3}{4}x[/tex]

So, the equation that represents the sale price y of an item that costs x dollars is: [tex]y=\frac{3}{4} x[/tex]

PART B:

y=Sale price of an item

x=Cost of the item

Discount on the item [tex]=x-y=x-\frac{3}{4} x=\frac{x}{4}[/tex]

Percentage discount on the item[tex]=\frac{\frac{x}{4} }{x}[/tex]×100[tex]=25[/tex]%

ACCESS MORE