A department store is offering a coupon for 26% off for any purchases over $100.
How much would you spend for a $100 purchase?
You would spend $____.
Construct a formula a piecewise functiom for the actual cost, C, of the purchase as a function of the original purchase price, P.
C=_____, 0 <P less than or greater than 100.
C=____, P>100.
less than or equal to*
$100
To find out how much you would spend for a $100 purchase with a 26% coupon, we need to calculate the discount and subtract it from the original price.
Step 1: Calculate the discount amount:
Discount = 26% * $100
Discount = 0.26 * $100
Discount = $26
Step 2: Subtract the discount from the original price:
Actual Cost = $100 - $26
Actual Cost = $74
Therefore, you would spend $74 for a $100 purchase with a 26% coupon.
As for constructing a formula, a piecewise function can be used to express the cost of the purchase based on the original purchase price:
For 0 < P < 100, the formula would be:
C = P - (0.26 * P)
For P > 100, the formula would be:
C = P - 26
This formula takes into account the different scenarios based on the original purchase price and applies the appropriate discount amount.