Max bought two deli sandwich rolls measuring 18 inches and 30 inches. He wants them to be cut into equal sections that are as lo
2 answers:
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Ok so for part a we're going to use substitution, since both equations have y alone.
Step 1: Use substitution
y = x - 1 y = -x + 3
x - 1 = -x + 3
If you think about it, this makes sense. You're looking for the point where they intersect, and you know that the y coordinate for that point will be the same in both equations. Therefore, we can set the rest of the equations equal to each other. Now we just need to simplify.
Step 2: add x to each side
x - 1 + x = -x + 3 + x
The x's on the right cancel out so we get:
2x - 1 = 3
Step 4: Add 1 to each side
2x - 1 + 1 = 3 + 1
2x = 4
Step 5: Divide both sides by 2
2x/2 = 4/2
x = 2
Step 6: Plug this x value back into one of the original equations to find the y coordinate
y = x - 1
y = 2 - 1
y = 1
Therefore your answer to part a is (2,1)
I've graphed the solution and attached it. It shouldn't be too hard to replicate - just draw both lines and they should intersect at (2,1)
Hope that helps! If you need clarification or anything please feel free to ask :)
Given:
After 8 months, you have been able to save $937.
You have the ability to save $130 per month.
To find:
The model for the situation and y-intercept and rate of change.
Solution:
Let y be the ability to saving after x months.
Ability to save in one month = $130
Ability to save in x months = $130x
So, total ability is
...(i)
where, b is initial savings.
After 8 months, you have been able to save $937. So, the point is (8,937).
Put x=8 and y=937 in (i),
So, the y-intercept is -103. Here, negative sign represents that we cannot able to save initially or we have loan or liabilities of $103.
Put b=-103 in (i).
On comparing with slope intercept form, we get
Slope = 130 and y-intercept = -103
Therefore, the slope is 130 and y-intercept is -103.