Lucy needs to buy some organic apples, and her grocery store is having a sale on them. If she buys 3 or fewer pounds of apples, the price will be $1.50 per pound. If she buys more than 3 pounds of apples, the price is $1.10 per pound. What is the domain of the piecewise-defined function, where x represents the number of pounds of apples?

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maileslpsoy2tbk maileslpsoy2tbk · Answer 1 · 2019-04-03T16:15:49+02:00

Answer:

The answer is a. hope it helps

Step-by-step explanation:

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parmesanchilliwack parmesanchilliwack · Answer 2 · 2019-04-18T09:52:37+02:00

Answer: The domain is,

{x ; x ≥ 0 }

Step-by-step explanation:

Here, x represents the number of pounds of apples,

Let f(x) shows the cost of apples,

Given,

The price of 3 pounds or fewer pounds of apples is $ 1.50 per pounds,

That is, f(x) = 1.50x for x ≤ 3,

We know that, the pounds of apples can not be negative,

⇒ f(x) = 1.50x for 0 ≤ x ≤ 3,

Now, The price of more than 3 pounds of apples is $ 1.10 per pounds,

That is, f(x) = 1.10x for x > 3,

Thus, the piece wish function that shows the price of apples per pounds,

[tex]f(x) = \left\{\begin{matrix}1.50x & 0\leq x\leq 3\\ 1.10x & x>3\end{matrix}\right.[/tex]

Since, for this function the possible value of x (input of f(x)) is

[tex]0\leq x\leq \infty[/tex]

And, Domain of a function = All possible value of input of the function.

So, the domain for the above function is,

{x ; x ≥ 0 }