You have : because they must be positive.
But i'm not sure about the inequality because the condition stated is about mass, whereas x and y are length....i don't know how to do this myself...sorry^^
Hey folks, I got a problem here and I think that I have a solution, but the wording of the question makes me think I'm short on the problem.
So I started with the inequality I found and manipulated it into a staight line inequality from there. We know that must be less than or equal to because she wants no more than , right?Alice has gone to the hardware store to purchase two different kinds of cord she uses in kite construction. The first type of cord has a mass of per metre, and the second type has a mass of per metre. she intends to purchase no more than in total. If represents the length of the first type of cord and represents the length of the second type of cord, shade the region in the coordinate plane that represents the lengths of each type of cord she could purchase. State the inequalities that define this region.
So here's what I did.
So I want to just graph this line and shade underneath it, but is there another inequality I'm missing? The question says "State the inequalities that define this region."
Thanks!
You have it right. If you simply graph the linear equation and shade underneath the line, the problem doesn't make sense as it applies to reality. Shading the region bounded by y=0, x=0 and the line y=(-3/4)x+3 will give you the region that corresponds to the problem. However, from the question it looks like she has to buy SOMETHING of each of the chord types so your axis lines should be dashed indicating they are not included in the solution.
Craigston's first post is correct.
And yes, it does state that she intends to buy two different cords, but let's be realistic; if you can include a length of cord , you can include 0. Your teacher will not mark you down for this.
Remember, when thinking about what a feasable domain of a function could be, look at all of the possibilities. In other words, it is "feasable" that the lady gets to the store and decides she wants to blow her wad on one cord.