Answer to Question #258396 in Math for Rairai

Question

Theresa's mother asked her to buy dressed chicken. If a kilo of dressed chicken costs Php 180, how many kilos she can buy if her mother gave her Php 450? Is the given situation represents a one to one function? If yes, generate a function that represents the situation

Answer 1

Proportion

$$\begin{matrix} 1\ kg & Php180 \\ x\ kg & Php450 \end{matrix}$$

$$x=\dfrac{450(1)}{180}kg=2.5\ kg$$

Theresa can buy 2.5 kg of dressed chicken.

Let $x=$ the amount of kilograms, $y=$ the cost of bought dressed chicken.

The quantities $x$ and $y$ are related by an equation

$$y=180x, x\geq0$$

The cost $y$ is directly proportional to $x$ bought kilograms.

This functon $y(x)$ is a one to one function.