Y=2,x=30 and Y=6,x=50
Find the relationship between x and y.
Find x when y=3
Incomplete question
if it is a linear relationship, then
y=ax+b and using the first data point
2=30a+b and the second data,
6=60a+b
subtracting the first equation from the second
4=30a
or a=2/15
then
y=2/15 x +b
2=2/15 *30 + b
b=-2
finally,
y=2/15 x -2
3=2/15 x -2
45=2x-30
2x=75
x=you do it.
So you have two ordered pairs:
(30,2) and (50,6)
slope = (6-2)/(50-30) = 4/20 = 1/5
equation:
y-2 = (1/5)(x-30)
5y - 10 = x - 30
x - 5y = 20 ----> that's your relationship
then if y = 3,
x - 15 = 20
x = 35
To find the relationship between x and y, we can compare the values for x and y given in the problem. Let's look at the two sets of values:
Set 1: Y = 2, x = 30
Set 2: Y = 6, x = 50
To determine the relationship between x and y, we can analyze how the values change between the two sets. We can see that as x increases from 30 to 50, y also increases from 2 to 6.
From this observation, we can conclude that as x increases, y also increases. In other words, x and y have a positive linear relationship.
Now let's find x when y = 3 using the relationship we found earlier. We can calculate it by setting up a proportion:
(Change in x) / (Change in y) = (x2 - x1) / (y2 - y1)
Using the values we have:
(Change in x) / (Change in y) = (50 - 30) / (6 - 2)
Simplifying the equation:
(Change in x) / (Change in y) = 20 / 4
Change in x = (Change in y) * (20 / 4)
Substituting y = 3 into the equation:
Change in x = 3 * (20 / 4) = 15
To find x when y = 3, we need to add the change in x to the initial value of x:
x = x1 + Change in x = 30 + 15 = 45
Therefore, when y = 3, x is equal to 45.