Hello!
If a you want to find an equation of the line that is parallel to the given line, we must know that if two lines are parallel, then their slope will <em>always</em> have to be equal.
This means that the new equation must have a slope of -1/3.
Also, you would need to substitute the given point (6, 8) into the equation with the slope: -1/3 as well. Following these steps allows you to find the equation of line.
y = -1/3x + b (6, 5)
5 = -1/3(6) + b
5 = -2 + b (add 2 to both sides)
7 = b
Therefore, the equation of the line is y = -1/3x + 7.
Total cost as the function of shirts is :
C(x) = mx + 500 .
It is given that , The total cost to produce 100 shirts is $800.
800 = 100m + 500
m = 3
So , cost is given by :
C(x) = 3x + 500 .
Now , putting x = 1000 .
We get :
C(x) = 3x + 500
C(x) = 3(1000) + 500
C(x) = $3500
Therefore , cost of producing 1000 shirts is $3500 .
Hence, this is the required solution .
The probability that the card is a football card is 20 out of 50 or 40%
the probability that the card is a basketball card is 10 out of 50 or 20%
