Question

Aiden is a spice trader. He charges $5 for 1 kilogram of cumin seeds, which is the smallest amount he sells. The largest amount of cumin seeds Aiden can sell is 1000 kilograms, which cost $2000 . P(w) models the price (in dollars) of  'w' kilograms of cumin seeds in Aiden's shop. Which number type is more appropriate for the domain of p ?


Integers/Real Numbers

A. 1≤w≤1000

B. 5≤w≤1000

C. 1≤w≤2000

Answer 1

Answer:

$1 \leq\ w\leq\ 1000$

Step-by-step explanation:

Given

Charges: $5 for 1 kg

Charges: $2000 for 1000 kg

w represents kilograms

P(w) represents Price

Required

What's the domain of P

Start by representing P as a function of w

When

$w = 1\ kg$

$P(1) = \ 5$

$w = 1000\ kg$

$P(1000) = \ 2000$

The domain of P are the values of w and is represented as follows;

$1 \leq\ w\leq\ 1000$

Hence;

Option A answers the question

Answer 2

The number type most appropriate for the domain of p is real numbers and the domain of p is A. 1 ≤ w ≤ 1000

Since Aiden charges $ 5 for 1 kilogram of cumin seeds, which is the smallest amount he sells. and the largest amount of cumin seeds Aiden can sell is 1000 kilograms, which cost $2000.

Since P(w) models the price in dollars of w kilograms of cumin seeds in Aiden's shop.

We see that P(1) = $ 5 and P(1000) = $ 2000.

So, $ 5 ≤ P(w) ≤ $ 2000 which is the range and the domain is

1 ≤ w ≤ 1000

And since w is a continuous variable, the number type most appropriate for the domain of p is real numbers and the domain of p is A. 1 ≤ w ≤ 1000

So, the number type most appropriate for the domain of p is real numbers and the domain of p is A. 1 ≤ w ≤ 1000

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