To find the linear equation that relates p and q, we can use the given data points (5,20) and (8,26).
Let P = a + bq
Substitute the values of (5,20) into the equation:
20 = a + 5b
Substitute the values of (8,26) into the equation:
26 = a + 8b
Now, we solve for a and b by solving this system of linear equations.
From the first equation, we get:
a = 20 - 5b
Substitute a into the second equation:
26 = 20 - 5b + 8b
26 = 20 + 3b
3b = 6
b = 2
Now, substitute b back into the first equation:
a = 20 - 5(2)
a = 20 - 10
a = 10
So, the equation relating p and q is:
P = 10 + 2q
Now we can find p when q = 4 by substituting q = 4 into the equation:
P = 10 + 2(4)
P = 10 + 8
P = 18
Therefore, when q = 4, p = 18.
Formular
V=a+bu
Question
P is partly constant and partly varies as q, if q is 5, p=20 and when q is 8, p=26
A. Find p when q =4
1 answer