Santiago is working at his mom’s daycare this summer. His mom has asked him to check out the library book sale to look for books they might be able to use in the daycare. When he gets to the book sale, he sees that board books are $1.50 and soft cover books are $0.50. He picks out a variety of books and spends $20
A. Write a two-variable equation to represent this situation. Be sure to define the variables you use in your equation
Let's use the variables b and s to represent the number of board books and soft cover books that Santiago buys, respectively.
The cost of a board book is $1.50, so the total cost of the board books Santiago buys is 1.50b.
The cost of a soft cover book is $0.50, so the total cost of the soft cover books Santiago buys is 0.50s.
The total amount Santiago spends on all the books is $20, so the equation is:
1.50b + 0.50s = 20
What are the constraints of the situation?
What kind of numbers can the variables be? ( only negative, Only positive, both) Positive
What kind of number can the variables be? ( Only whole numbers, All real numbers) Whole Numbers
Since you bought a variety of books. What is the minimum number of board books he can buy 1
Since you bought a variety of books. What is the minimum number of soft cover books you can buy? 1
The constraints of the situation are that the number of board books (b) and soft cover books (s) must be positive whole numbers.
Since Santiago bought a variety of books, the minimum number of board books he can buy is 1.
Similarly, the minimum number of soft cover books Santiago can buy is also 1.
What are the constraints of the situation?
What kind of numbers can the variables be? ( only negative, Only positive, both) Positive
What kind of number can the variables be? ( Only whole numbers, All real numbers) Whole Numbers
Yes, you are correct. The constraints of the situation are that the number of board books (b) and soft cover books (s) must be positive whole numbers. The variables cannot be negative or zero, as Santiago cannot buy a negative or zero number of books. Additionally, the variables cannot be fractions or decimals, as Santiago can only buy whole books, not fractions or parts of books.
What is another way to say whole numbers
Only positive
Only negative
Both positive and negative
0
1