Point C is located at (1, 2) and point D is located at (−4, −2). Find the x value for the point that is 1\4 the distance from po
1 answer:
The easiest way to do this is to realize this is a <em>weighted average</em> of the two points. (A weighted average is a linear combination where the coefficients add to one.)
(x,y) = (1-t)C + tD
where t is a real parameter. When t=0 we're at point C, when t=1 we're at point D. We're interested in t=1/4,
(x,y)= (3/4) C + (1/4) D
We're only asked for the x coordinate:
x = (3/4) (1) + (1/4) (-4) = 3/4 - 1 = - 1/4
Answer:
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1. If Sheryl works 6.5 hours in a day, she makes approximately 85 currency.
2A. If Sherly had not worked for a single hour, she would get no money.
If she worked for 1 hour, here wage would approximately be equal to 13 currency.
If Sheryl works 9 hours she will make approximately 117 currency.
Step-by-step explanation:
Step 1:
To calculate how much Sheryl makes if she works 6.5 hours a day, we check the graph to see what the y value of the graph is when .
When , the line falls on
So if Sheryl works 6.5 hours in a day, she makes approximately 85 currency.
Step 2:
The two points on the graph are at (0, 0) and (1, 13).
This means that if Sherly had not worked for a single hour, she would get no money.
If she worked for 1 hour, here wage would approximately be equal to 13 currency.
These two statements explain the two points on the graph.
Step 3:
To calculate how much Sheryl makes if she works 9 hours, we must create an equation that represents how much money she makes.
If she earns approximately 13 currency an hour, her wage is , where x is the number of hours worked and y is the wage.
When ,
So if Sheryl works 9 hours she will make approximately 117 currency.