You go shopping for some new shoes on a sales tax free weekend (yay no taxes!). You have a 20% off coupon. If you have a $100 to spend, what is the maximum price of the shoes you can buy with the coupon? Explain how you figure out your answer.

  $125

Step-by-step explanation:

With a 20% off coupon, the price you pay is 80% of the marked price. If that amount is $100, you have ...

  $100 = 0.80p

  p = $100/0.80 = $125

The maximum price of the shoes you can buy is $125.

Check

20% of $125 is -.20×$125 = $25. When that is subtracted, the price you pay is ...

  $125 -25 = $100

$125

Step-by-step explanation:

let the maximum price be 'x'

2 is the final ! : )

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: