A local shoe store buys shoes at a wholesale price and then marks them up 80% to calculate the retail price. The wholesale price varies, depending on the quantity of shoes purchased. Write an equation that could be used to find the retail price for each range. How do you know the equation will work consistently for each range?

In this question, the buying price will be lower if the quantity bought is higher. But the markup ratio for retail price is constant at 80% of buying price. If the price of the range is x, then the equation of retail price would be:

Retail price= x * (100%+80%)

Retail price= x * 180%=

Retail price= 1.8 x

The equation should be same because the markup ratio is same. Only the buying price that will be different based on the quantity of shoe purchased.

hope this !

step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)