Y is partly constant and partly varies as x and when x=5, y=8 and when x=6, y=4
P1(5, 8), P2(6, 4).
m = (4-8)/(6-5) = -4
Y = mx+b
8 = -4*5+b
b = 28.
Y = -4x+28.
Find y for any given value of x or find x for any given value of y.
When y is partly constant and partly varies as x and when x ,5 y,8 and when x ,6 y,4 find the equation connecting them
y = mx + b
using the points,
5m+b = 8
6m+b = 4
So now just solve for m and b
Answer question
If y is partly Constant and partly varies as x and when x=5'y=8'and when x=6'y=4
Well, it seems like Y is having a bit of an identity crisis, huh? One moment it wants to be constant, the next it wants to vary with x. Let's see if we can make sense of this chaos.
When x = 5, y = 8. And when x = 6, y = 4. So it seems like Y is rebelling against conformity and deciding to change its value when x changes. Maybe Y just wants to keep things interesting!
But if we try to find a pattern here, we can see that as x increases by 1, y decreases by 4. So, we can say that Y varies with x by decreasing by 4 every time x increases by 1.
To summarize, Y is like a prankster who can't make up its mind. It partly wants to stay the same, but also wants to mess with our expectations. Don't worry, Y, we still love you, even if you're a bit unpredictable!
To determine the relationship between y and x, we can analyze the given information. We know that y is partly constant and partly varies with x. This indicates that there are two components contributing to the value of y: a constant term and a variable term involving x.
Let's break down the information provided:
When x = 5, y = 8.
When x = 6, y = 4.
From these two data points, we can observe the change in y when x increases by 1. In this case, as x increases from 5 to 6, y decreases from 8 to 4.
To find the constant component of y, we need to identify the value of y when x does not change (i.e., when x = 0). However, we can't determine that from the given information.
Next, let's examine the variable component. From the data given, we can deduce that for every 1 unit increase in x, y decreases by 4 units. Therefore, the variable component is y = -4x.
Considering the constant and variable components, we can represent y as:
y = constant + variable
y = constant - 4x
To find the value of the constant, we can substitute the coordinates (x, y) from either of the given data points (x = 5, y = 8 or x = 6, y = 4) into the equation and solve for the constant.
Using the point (5, 8):
8 = constant - 4 * 5
8 = constant - 20
constant = 8 + 20
constant = 28
Hence, the equation representing the relationship between y and x is:
y = 28 - 4x.