how would I write a linear equation to represent the following equation:
the school cafeteria sells bottles of soda for 0.75 each and a candy bars for 0.50 each. What is the cost C of s bottles of soda and b candy bars?
To write a linear equation to represent this situation, we need to identify the cost of each item and the quantities involved.
Let's assign variables to the quantities:
- s represents the number of bottles of soda
- b represents the number of candy bars
Next, we determine the cost of each item:
- The cost of each bottle of soda is $0.75
- The cost of each candy bar is $0.50
To find the total cost, we multiply the cost of each item by its respective quantity and then add them together:
Total cost = (cost of soda * quantity of soda) + (cost of candy bar * quantity of candy bar)
C = (0.75 * s) + (0.50 * b)
Therefore, the linear equation representing the cost C of s bottles of soda and b candy bars is C = 0.75s + 0.50b.