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Albert receives $0.30 per pound for 1 to 49 pounds of glass bottles he recycles. He receives $0.40
per pound if he recycles more than 50 pounds. Is the amount of money Albert receives a function
of the weight of the bottles he recycles? Explain your reasoning.

Respuesta :

znk

Answer:

Yes

Step-by-step explanation:

The amount of money Albert receives is described by the expression

[tex]y = \begin{cases}0.30x  & \quad \text{if } 0 \leq x \leq 49 \\0.40x & \quad \text{if } x > 50\\\end{cases}[/tex]

The graph is shown below.

To determine if the relation is a function,  we can use the vertical line test:  

If a vertical line crosses the graph more than once in any location, the relation is not a function.

We see that at no place will a vertical line intersect the graph more than once.

The relation is a function.

Ver imagen znk

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