First, work out how much you need to add to A's x and y coordinates in order to get to point B from point A.
So (using Ax to mean x-coordinate of A, Ay the y-coordinate of A, etc):
x-difference = Bx - Ax = 3 - (-3) = 3 + 3 = 6
y-difference = By - Ay = 5 - 1 = 4
Now, if the point divides the segment AB in the ratio 2:3, then it is 2/(2+3) of the way along the line AB.
i.e. it is 2/5 of the way along the line AB.
We therefore need to add 2/5 of the x- and y-differences to point A to get point p:
px = Ax + (2/5)*(x-difference) = -3 + (2/5)*6 = -3 + 12/5 = -15/5 + 12/5 = -3/5 = -0.6
py = Ay + (2/5)*(y-difference) = 1 + (2/5)*4 = 1 + 8/5 = 5/5 + 8/5 = 13/5 = 2.6
Therefore coordinates of p are (-0.6, 2.6)
By finding the proportional relation between x and y, we will see that when x = 16, we have y = 32.
<h3>How to get the value of y when x = 16?</h3>
If y varies directly with x, then we can write the relation as:
y = k*x
Where k is the constant of proportionality.
First, we know that when x = 4, we have y = 8, replacing that we get:
8 = k*4
Solving for k, we get:
k = 8/4 = 2.
Then the relation between x and y is:
y = 2*x
When x = 16, we have:
y = 2*16 = 32
Then the correct option is a.
If you want to learn more about proportional relations:
brainly.com/question/12242745
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Answer:
Step-by-step explanation:
i cant see figure g
The average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.
