A price increases 7% due to inflation and is then reduced 10% for a sale. Express the final price as a function of the original price, p.

f(p)=?

Thank you for the opportunity to help you with your question!

The beginning place is to make sure you label all your variables.

f(p)= final price

p= original price.

What happened to the original price. Well we know that the price increased by 7% and the price was later reduced by 10%

f(p)=107%p(10%)

107%=1.07 x .10%= .107

1.07-.107= .963

Multiply that by 100= 96.3%

F(p)=96.3%p

Just to clarify where I got the 107%.

The original price is still 100% of the price. If you increase it by 7%, you must add it to the original 100%.

So, that is 100%+7%= 107%.

oh, and a small typo. I wrote

It should be

1.07 x .10=.107

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