X= 92]96]100]104]108
Y=23]24]25]26]27
WHAT IS THE VALUE OF Y WHEN X IS 68??
IF Y=X-19, WHAT IS THE VALUE OF X WHEN Y= 34
Question 1:
92 - 4 = 88; y = 22
88 - 4 = 84; y = 21
84 - 4 = 80; y = 20
80 - 4 = 76; y = 19
76 - 4 = 72; y = 18
72 - 4 = 68; y = 17
What's the answer?
When x = 68, y = 17.
====================
For question 2:
IF Y = X-19, WHAT IS THE VALUE OF X WHEN Y= 34.
Replace Y with 34 and solve for x.
34 = X - 19
34 + 19 = X
53 = X
Done!
X= 92]96]100]104]108
differences
4, 4, 4, 4
Y=23]24]25]26]27
differences
1, 1, 1, 1
when doing this type of problem, make table of change in x and change in y.
if the ratio of change in y over change in x is constant, we have a straight line.
y = m x + b
If not, make another line, the differences of differences.
if that ratio is constant, you have a parabola.
y = a x^2 + b x + c
etc. That will usually work
Anyway, here we have y = m x + b
put in two points to solve for m and b and you have everything.
we can see from our table that m = change in y / change in x = 1/4
so
y = (1/4) x + b
put in a point (92,23)
23 = (1/4)(92) + b
b = 0 remarkable
SO
y = (1/4) x
so if x = 68, then y = 68/4 = 17
To find the value of Y when X is 68, we can use the given equation Y = X - 19.
Given: X = 92, 96, 100, 104, 108
Y = 23, 24, 25, 26, 27
First, let's find the index of X when it is equal to 68.
Index of X when X = 68:
92, 96, 100, 104, 108
1, 2, 3, 4, 5
From the above indices, we can see that X = 68 corresponds to the index 2.
Now, let's find the value of Y when X is 68:
Y = X - 19
Y = 68 - 19
Y = 49
Therefore, the value of Y when X is 68 is 49.
Now, let's find the value of X when Y = 34.
Given: X = 92, 96, 100, 104, 108
Y = 23, 24, 25, 26, 27
Let's substitute Y = 34 into the equation Y = X - 19 and solve for X.
34 = X - 19
Adding 19 to both sides:
34 + 19 = X
53 = X
Therefore, the value of X when Y = 34 is 53.
To find the value of Y when X is 68, we have two lists given:
X = 92, 96, 100, 104, 108
Y = 23, 24, 25, 26, 27
We can see that X increases by 4 each time, and Y increases by 1 each time. Therefore, we can determine the pattern and find the value of Y when X is 68.
First, let's find the difference between X and 68:
68 - 92 = -24
68 - 96 = -28
68 - 100 = -32
68 - 104 = -36
68 - 108 = -40
By observing the differences, we can see that the difference between X and 68 is decreasing by 4 each time. So, the next difference would be -44.
To find the corresponding Y value, we need to determine how many times the difference is getting subtracted from the last Y value:
27 - 23 = 4
4 / 4 = 1
So, we need to subtract the difference (-44) from the last X value, and add the result to the last Y value:
68 - 44 = 24
27 + 24 = 51
Therefore, when X is 68, Y is 51.
Now, let's move on to the second part of the question.
If Y = X - 19, and we want to find the value of X when Y is 34, we can rearrange the equation to solve for X.
Y = X - 19
To find X when Y is 34, we substitute the value of Y into the equation:
34 = X - 19
Now, we can solve for X by isolating it on one side of the equation:
X = 34 + 19
X = 53
Therefore, when Y is 34, X is 53.