for an order of t-shirts, a sports store manager makes a table showing the cost of 1,3, and 8 t-shirts. let's represent the number of t-shirts. write an algebraic expression for the cost of s t-shirts.
Let's represent the cost of 1 t-shirt as c.
The table shows the cost of 1 t-shirt as c, the cost of 3 t-shirts as 3c, and the cost of 8 t-shirts as 8c.
To find an algebraic expression for the cost of s t-shirts, we can use the concept of proportionality.
Since the cost of 1 t-shirt is c, and the cost of 3 t-shirts is 3c, we can say that the cost is directly proportional to the number of t-shirts.
Therefore, the algebraic expression for the cost of s t-shirts would be:
Cost = s * c
Let's assume the cost of 1 t-shirt is "c" dollars.
According to the information given, we can create a table with the cost of 1, 3, and 8 t-shirts:
Number of T-shirts (s) | Cost
------------------------|------
1 | c
3 | ?
8 | ?
To find an algebraic expression for the cost of s t-shirts, we can observe the pattern.
From the table, we can see that the cost of 1 t-shirt is "c" dollars.
To find the cost of 3 t-shirts, it is logical to assume that it will be 3 times the cost of 1 t-shirt. Therefore, the cost of 3 t-shirts is 3c dollars.
To find the cost of 8 t-shirts, it is again logical to assume that it will be 8 times the cost of 1 t-shirt. Therefore, the cost of 8 t-shirts is 8c dollars.
Now, we can generalize this pattern and write an algebraic expression for the cost of s t-shirts as follows:
Cost of s t-shirts = sc dollars, where s represents the number of t-shirts.