A. y = 10x + 125
Basically, we need to follow two formulas, beginning with the one below. It's quite easy once you get the hand of it. You're just inserting your numbers then doing the math.
m= [tex]\frac{y2 - y1}{x2-x1}[/tex]
First, we need to find 'm'. To find 'm', we'll follow our first formula.
m= [tex]\frac{y2 - y1}{x2-x1}[/tex] = [tex]\frac{145-135}{2-1} = \frac{10}{1} = 10[/tex]
m= 10
Now that we've solved for m, we have a new formula, and in the new formula we have to solve for 'b'. *plug in your first y input*
y = mx + b
*plug in your first x input and multiply it by your 'm'*
135 = 10*1 + b
135 = 10 + b
*pretend that b is now your y and switch the old y position with the b*
b = 135 - 10
b = 125
Now that we have solved for b, we need to go back to our second formula and plug all of our new 'm' and 'b' numbers in.
y = 10x + 125
And there you go, your answer. :)
I hope this isn't too confusing! It's a little hard to explain through brainly, but hopefully you got what I was explaining, lol. I recently figured how to solve these formulas, and when I did, I was very happy. If you don't get it now, you will eventually, trust me.
Total earning is fixed earning plus earning by commission per selling.
The equation that best represents the relationship between x and y is:
Option A: [tex]y = 10x + 125[/tex]
The equation representing relationship between the number of papers sold(x) and total earnings(y).
Total earning = Fixed earning + commission on each paper sold
y = e + mx
wheere m is commission amount, x is number of paper sold, e is fixed earning of Mae.
Thus:
From given table, we have:
[tex]135 = m(1) + e\\
145 = m(2) + e\\
15 5= m(3) + e\\
[/tex]
10 = m
Putting this value in equation 1, we get:
[tex]135 = 10(1) + e\\ 135 - 10 = e\\ e = 125[/tex]
Thus, the relationship between x and y is [tex]y = mx + c = 10x + 125[/tex]
Thus, Option A: [tex]y = 10x + 125[/tex] is correct.
Learn more about linear relationship here:
https://brainly.com/question/16374134
