Q varies inversely as z,if q =7,when z=15.find z when q=49
qz = k
so, you want z such that
49z = 7*15
To find the value of z when q = 49, we can use the inverse variation equation and the given values:
Q = k/z, where Q is the dependent variable (q in this case), k is the constant of variation, and z is the independent variable.
First, we need to find the value of k by substituting the values from the first scenario into the equation:
q = k/z
7 = k/15
To solve for k, we can cross-multiply:
7 * 15 = k
k = 105
Now, we can use the value of k to find z when q = 49:
q = k/z
49 = 105/z
To solve for z, we can cross-multiply:
49 * z = 105
Dividing both sides by 49:
z = 105/49
Simplifying the fraction:
z = 2.14 (rounded to two decimal places)
Therefore, when q = 49, z ≈ 2.14.