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Solution:

The area of the rectangular enclosure is given by [tex]A = xy[/tex]. We will express this as a function of [tex]x[/tex]. Since only 100 meters of fencing is available, we have the equation [tex]x + 2y = 100[/tex]. Solving for [tex]y[/tex], we get [tex]y = \frac{100 - x}{2} = 50 - 0.5x[/tex]. Thus, the area function is [tex]A(x) = x(50 - 0.5x) = 50x - 0.5x^2[/tex].

Exercise: Answer the following problem:

Give a function [tex]C[/tex] that can represent the cost of buying [tex]x[/tex] meals if one meal costs P40.

Sagot :

GinnyAnsweridn
To find a function [tex]\( C \)[/tex] that represents the cost of buying [tex]\( x \)[/tex] meals, given that one meal costs P40, follow these steps:

1. Identify the cost per meal: Each meal costs P40.
2. Define the variable: Let [tex]\( x \)[/tex] represent the number of meals.
3. Formulate the total cost function: Multiply the number of meals [tex]\( x \)[/tex] by the cost per meal P40.

So, the cost function [tex]\( C(x) \)[/tex] can be written as:
[tex]\[ C(x) = 40x \][/tex]

Here, [tex]\( C(x) \)[/tex] denotes the total cost for [tex]\( x \)[/tex] meals, where each meal costs P40.
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