First subtract the 75$ needed to rent the car for the week. So to start you do 110-75 which equals 35 Finally you divide the 35 by .35 and get 100 so that means you can drive 100 miles
100 miles is the max distance that you can drive without exceeding spending your $110 max budget for your weekly transportation.
1. y = |x| + 3
2. y = |x + 2|
150, 300, 450, 600, 750....
Y = 4x - 9 and y = x-3 so the two right sides (4x-9 and x-3) must be equal
4x-9 = x-3
Let's solve for x
4x-9 = x-3
4x-9+9 = x-3+9 ... add 9 to both sides
4x = x+6
4x-x = x+6-x ... subtract x from both sides
3x = 6
3x/3 = 6/3 ... divide both sides by 3
x = 2
If x = 2, then y is...
y = 4*x - 9 = 4*2-9 = 8-9 = -1
which can also be found by
y = x-3 = 2-3 = -1
So overall x = 2 and y = -1
We have the ordered pair (x,y) = (2,-1)
Y=mx+b so the b is for the y intercept which is 2 in this problem