Rachel works at a bookstore. On Tuesday, she sold twice as many books as she did on Monday. On Wednesday, she sold 6 fewer books than she did on Tuesday. During the three days Rachel sold 19 books. Create an equation that can be used to find m, the number of books Rachel sold on Monday.
Equation:
m + 2 m + 2 m - 6 = 19
Which of the following represents "four times the square of a number is thirty-six"?
4x ^2 = 36
(4x) ^2 = 36
4 ^2x = 36
4x^2 is 4 times the square of a number
(4x)^2 is the square of four times a number
4^x is four to the power of a number
4^(2x) = (4^2)^x is the the square of four, raised to the power of a number
The comma is needed, or it would be (4^x)^2 which would actually be the same value.
Let's break down the information given to create the equation:
1. On Tuesday, Rachel sold twice as many books as she did on Monday.
Let's say Rachel sold m books on Monday.
So, on Tuesday, she sold 2m books.
2. On Wednesday, Rachel sold 6 fewer books than she did on Tuesday.
So, on Wednesday, she sold (2m - 6) books.
3. During the three days, Rachel sold 19 books.
We need to find the total number of books sold during the three days, which is the sum of the books sold on Monday, Tuesday, and Wednesday.
The equation can be written as:
m + 2m + (2m - 6) = 19
Simplifying the equation gives:
5m - 6 = 19
Adding 6 to both sides:
5m = 25
Finally, dividing both sides by 5:
m = 5
Therefore, the equation that can be used to find m, the number of books Rachel sold on Monday, is:
m = 5.