Write a real-world problem that is solved by an equation and then solve (show work).
1 answer:
A company is selling books. It has to pay $500 to start printing the books, and once they have done that, the books sell at $14.99 each. How many books must they sell to make a profit?
First we would model an equation. X will be the amount of books sold, and Y will be profits (in dollars obv). They had to pay $500 before they could start selling, so we must account for that too.
This equation would be
because for every book sold, X increases by 1, increasing Y by 14.99
The answer would be 34 books sold in order to turn a profit. (500/14.99=
First we would model an equation. X will be the amount of books sold, and Y will be profits (in dollars obv). They had to pay $500 before they could start selling, so we must account for that too.
This equation would be
The answer would be 34 books sold in order to turn a profit. (500/14.99=
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Answer:
Step-by-step explanation:
The area of a rectangle is:
First let's write both the length and the width in terms of x:
<u>How we obtained the answer</u>:
The question states the length is "2 less than x". In this case, "less" is a keyword that represents subtraction. Therefore, "2 less than x" is "x-2".
<u>How we obtained the answer</u>:
The question states the width is "5 less than twice of x". First, start by figuring out what "twice of x" is. The keyword is "twice" which represents multiplication. Therefore, "twice of x" can be written as "2x". Then, using the same keyword from before ("less"), "5 less than..." represents "2x-5".
Given:
Area = 56 cm
Find:
x
FOIL (Firsts, outsides, insides, lasts):
Subtract 10 from both sides:
Subtract 46 from both sides (forms a quadratic equation):
Use the quadratic formula:
where
Therefore:
The answer is:
This is because if we used subtraction, we would get a negative value, and we cannot have a negative length/width.