00:01
So in this question, the ride of bicycles factory can produce 110 bicycles in a day at a total cost of $10 ,300, and it can produce 130 bicycles in a day at a total cost of $10 ,800.
00:14
We're going to start by finding a linear function that models the total cost for ritam to produce x bicycles.
00:23
So we're going to start by finding our slope.
00:26
We're going to say we have two points here.
00:28
They are the points 110 ,10 ,000, and 130, comma, 10 ,800.
00:40
So now, i'm going to find my slope.
00:43
And my formula for my slope is y2 minus y1 over x2 minus x1, so 10 ,800 minus 10 ,300, over 130 minus 110.
01:01
Now, in the numerator, i've got 10 ,800 minus 10 ,300.
01:09
That's 500.
01:13
Divided by 130 minus 110 is 20.
01:18
When i do that division, i get m equals 25.
01:25
Now, once i have that m, i need to figure out my b.
01:29
So we've got y equals 25x plus b.
01:34
How am i going to solve for b? well, i take one of my points, and i'm going to plug back in...