Formular
V=a+bu
Question
Where a,b and c are the constant terms and other are variables
E.g
Suppose c is partly constant and it partly varies as p. If the values of c=18, when p=2 and c=23 when p=4.5
A. Find the formular connecting c and p
B. Find c when p = 7.5
A. The formula connecting c and p can be found using the two points given:
Using the point (2,18) and (4.5,23):
c = a + bp
18 = a + 2b
23 = a + 4.5b
Now, solve for a and b:
From the first equation, a = 18 - 2b
Substitute into the second equation:
23 = (18 - 2b) + 4.5b
23 = 18 + 2.5b
5 = 2.5b
b = 2
Now, substitute b back into the first equation to find a:
18 = a + 2(2)
18 = a + 4
a = 14
Therefore, the formula connecting c and p is:
c = 14 + 2p
B. Find c when p = 7.5:
c = 14 + 2(7.5)
c = 14 + 15
c = 29
Therefore, when p = 7.5, c = 29.