A clearance rack has items for 75%
off. Harriet uses the expression p−0.75p
to find the new price of an item that originally cost p
dollars.
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The expression p−0.75p represents the amount by which the original price, p dollars, is reduced. This is because "0.75p" represents 75% of the original price. So, when we subtract this amount from the original price, we are left with the new price after the discount.
To find the new price of an item that originally cost p dollars with a 75% discount, Harriet uses the expression p−0.75p.
To simplify this expression, we need to subtract 0.75 times p from p.
So, when we subtract 0.75p from p, we get (1-0.75)p, which simplifies to 0.25p.
Therefore, the expression p−0.75p simplifies to 0.25p.
Hence, the new price of the item can be found by multiplying its original price, p, by 0.25.
To find the new price of an item on the clearance rack that originally cost p dollars, Harriet uses the expression p − 0.75p.
First, let's calculate the value of 0.75p by multiplying p by 0.75.
0.75p = 0.75 * p = 0.75p
Next, we subtract this value from p to find the new price.
New price = p - 0.75p = (1 - 0.75)p = 0.25p