The price p and the demand x for a particular steam iron are related by the equation x = 1000-20p. express the price p in terms of the demand x and find the domain of this function...

Question

Ultrilliam · Answer

@Hero Please answer this when you can :)

Hero · Answer

"Express the Price of p in terms of x" In other words, solve for p:

To solve for p, perform the following steps:

1. Add 20p to both sides
2. Subtract x from both sides
3. Divide both sides by 20

Upon doing so, you should have:
$p = 50 - \dfrac{x}{20}$

Hero · Answer

The domain in this case will be $x \ge 0$

Hero · Answer

Upon further observation, it seems the domain is $0 \le x \le 1000$. It seems they don't expect the demand to be any higher than 1000

Hero · Answer

Also, if demand is counted in terms of number of units, then the domain would be the set of whole numbers up to 1000