Part 1A) A shoe store buys shoes at a wholesale price and marks them up 80% to calculate the retail price.

Question

Part 1B) The wholesale price varies, depending on the quantity of shoes purchased

 

                                          Quantity

0-20 pairs     21-40 pairs     41-60 pairs    61-80 pairs     81 or more pairs

           ↑                     ↑                       ↑                  ↑                            ↑

           ↓                     ↓                       ↓                  ↓                            ↓

$25.00 each   $23.00 each    $21.00 each     $19.00 each    $17.00 each

                             Wholesale Price (per pair)

 

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?

 

Please help I don't understand.

Answer 1

Jonaseth, let's look at something. Let's say I purchase an item for $5 that has an 8% sales tax. I can multilpy 5(.08) = .40 and add the .40 to 5 to get my total price of $5.40. My equation is $5 + $5(.08)

 

Now, I'll show you the first group. You are adding to the $25 80% of that $25, so we can do the same thing.

 

$25 + $25(.80) = $25 + $20 = $45

 

Now, the question is asking you to write one equation. If we let w = the wholesale price and r = the retail price, then r = w + .80w.

 

It will work for all the groups because you are adding 80% to each wholesale price.

 

Hope this helps!