If p is directly proportional q and p=4.5 when q = 12 ,find the relationship between p and q,p when q= 16,q when p= 2.4
If p is directly proportional q and p=4.5 when q = 12
so p = kq
4.5 = k(12)
k = 4.5/12 = 3/8
p = (3/8)q
then, when q = 16, p = (3/8)(16) = 6
and, when p = 2.4
2.4 = (3/8)q
q = 2.4(8/3) = 6.4
Well, if P and Q are directly proportional, it means they have a linear relationship. In other words, P = kQ, where k is the constant of proportionality.
To find the value of k, we can use the given information:
When P = 4.5 and Q = 12,
4.5 = k * 12.
Solving for k, we get k = 4.5 / 12 = 0.375.
So the relationship between P and Q is P = 0.375Q.
Now let's find some values.
When Q = 16,
P = 0.375 * 16 = 6.
When P = 2.4,
2.4 = 0.375Q.
Solving for Q, we get Q = 2.4 / 0.375 = 6.4.
Hope that answers your question!
Thank you
To determine the relationship between p and q, we can use the formula for direct proportionality:
p = kq
where k is the constant of proportionality.
We are given that p = 4.5 when q = 12. Plugging these values into the formula, we can solve for k:
4.5 = k * 12
Dividing both sides by 12:
k = 4.5 / 12
Simplifying:
k = 0.375
Therefore, the relationship between p and q is:
p = 0.375q
Now, let's use this relationship to find the remaining values.
1. When q = 16:
p = 0.375 * 16
p = 6
So, when q = 16, p = 6.
2. When p = 2.4:
2.4 = 0.375q
Dividing both sides by 0.375:
q = 2.4 / 0.375
q = 6.4
So, when p = 2.4, q = 6.4.
Please can you answer this question.p q and p=45 when q=12 find the relationship between p and q.
Thank you