x is constant y z when y=2 and z=3,x=30. a.find the relationship between x,y and z. b.find x when y=9 and z=2
Poor wording, guessing that you are saying:
x = k(yz)
given: when y = 2, z = 3, and x = 30
30 = k(2*3)
k = 5
so x = 5yz
when y = 9, z = 2, then
x = 5(9*2) = 90
a. Well, if x is constant when y is 2 and z is 3, and we know that x is 30, then it seems that x is equal to y times z! So the relationship between x, y, and z is x = y * z.
b. Now, if we plug in y = 9 and z = 2 into our relationship x = y * z, we can calculate x! Therefore, x would be... wait for it... x = 9 * 2 = 18! Ta-da!
a. To find the relationship between x, y, and z, we can use the given information. We know that x is constant when y=2 and z=3, and when that happens x=30. This means that when y=2 and z=3, x is always equal to 30.
Therefore, the relationship between x, y, and z can be expressed as:
x = 30, when y = 2 and z = 3
b. To find x when y=9 and z=2, we can use the same relationship we found in part a. If x is always equal to 30 when y=2 and z=3, we can substitute those values into the equation to find x when y=9 and z=2.
So we have:
x = 30, when y = 2 and z = 3
Substituting y=9 and z=2 into the equation, we get:
x = 30, when y = 9 and z = 2
Therefore, when y=9 and z=2, x is also equal to 30.
To find the relationship between x, y, and z, we need to observe the given data and see how they are related to each other.
From the given information, we have the following values:
When y = 2 and z = 3, x = 30.
a. Let's analyze the relationship between x, y, and z:
Looking at the given data, we can see that when y and z increase, x also increases. However, we need to determine the specific relationship between x, y, and z.
To do this, we can set up a proportion based on the given data:
(y1 / z1) = (y2 / z2), where (y1, z1) are the initial values, and (y2, z2) are the new values.
Using the given data:
(2 / 3) = (y / z)
Now, let's solve this proportion for y and z:
2z = 3y
y = (2z/3)
b. Now, let's find x when y = 9 and z = 2:
Using the relationship we found in part a, substitute y = 9 and z = 2 into the equation:
y = (2z/3)
9 = (2 * 2) / 3
9 = 4/3
To find x, we can use the initial given value of x when y = 2 and z = 3:
x = 30
So, when y = 9 and z = 2, x will still be equal to 30.
Therefore, the relationship between x, y, and z is that x remains constant (x = 30) regardless of the values of y and z.