My trouble is that I have been using mostly slope-intercept form in class, and I want to write them in that form but I can't figure out how to. I'm wondering how I should define my variables and what form to use if not slope-intercept.
2. iTunes is selling music for 20% off on labor day only.
a) Write an equation to find the total purchase price, t, for any number of songs purchased at p, price on labor day.
An equation I came up with: t = np or t = n(.8r) where n is number of songs and r is original price.
3. Mr. Vaughn earns $16 an hour for the first 40 hours of the week plus 1 1/2 times that amount for any hours over 40.
a) Write an equation that describes the relationship between the number of overtime hours, x, Mr. Vaughn works and his gross pay for the week, y.
An equation I came up with: y = 24x + 640 (This doesn't seem encompassing enough. What if Mr. Vaughn works less than forty hours?)
4. A rectangle has an area of 96 square units. Its length, l, is 4 units longer than its width, w.
a) Write an equation to represent the area of the rectangle in terms of its width.
An equation I came up with: 96 = w^2 + 4w (This is what I got from trying to simplify.)
Do these equations work? Are there better equations or more simplified ones?
2 and 3 look good, Mathematician.......(on 3, I think they're assuming that he works 40 hrs. per week !!!)
4 goes like this:
Let the width = W ...then the length is 4 greater = W + 4 and we have
W (W + 4) = 96
Oh I got w^2 + 4w from distributing, but is w(w+4) better?
Or is w(w+4) an easier way to solve for w?
Also, did I distribute correctly?