Give a function of C that can represent the cost of buying x meals, if one meal costs P40. Prove your representation by using a table.
C(x) = 40x
Math
The function that represents the cost of buying x meals, where one meal costs P40, can be defined as follows:
C(x) = 40x
To prove the representation, we can create a table showing the cost of buying different numbers of meals and calculate the values using the function.
x (Number of Meals) | C(x) (Cost in PHP)
----------------------------------------
1 | 40
2 | 80
3 | 120
4 | 160
5 | 200
By substituting the values of x into the function C(x) = 40x, we can see that the calculated cost matches the table values. Hence, this proves that the function C(x) = 40x accurately represents the cost of buying x meals, where one meal costs P40.
To represent the cost of buying x meals, we can define a function in terms of x.
Let's call the function C(x), where x represents the number of meals and P40 represents the cost of one meal.
The cost of buying x meals can be calculated by multiplying the number of meals (x) by the cost per meal (P40):
C(x) = x * P40
To prove this representation, we can create a table showing the cost of buying different numbers of meals:
Number of Meals (x) | Cost (C(x))
--------------------------------
1 P40
2 2P40 = P80
3 3P40 = P120
4 4P40 = P160
5 5P40 = P200
From the table, we can observe that the cost (C(x)) is calculated correctly by multiplying the number of meals (x) by the cost per meal (P40). This confirms that C(x) = x * P40 accurately represents the cost of buying x meals.