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Maths

h is inversely proportional to p
p is directionaly proportional to root t
Given that h=9 and t=64 when p=4
Find a formula for h in terms of t.
Write any fractions in the form a/b
What have you tried?
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Mustyyyyy
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Original post by Knortfoxx
What have you tried?

nothing im so lost all i know is k=0.5 is 1 mark and h=k/p is another mark
Original post by Mustyyyyy
nothing im so lost all i know is k=0.5 is 1 mark and h=k/p is another mark

what part of the question are you struggling with?
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Mustyyyyy
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Original post by Knortfoxx
what part of the question are you struggling with?

the part when they ask for the formula and to write a fractiona as a/b
Original post by Mustyyyyy
the part when they ask for the formula and to write a fractiona as a/b

do you know what inversely and directly proportional mean?
Reply 6
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Mustyyyyy
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Original post by Knortfoxx
do you know what inversely and directly proportional mean?

Yes. Directly is when one increases the other increases. And inversely is when one increases the other one decreases.
Original post by Mustyyyyy
Yes. Directly is when one increases the other increases. And inversely is when one increases the other one decreases.

Sort of. A is directly proportional to B means A=kB and A is inversely proportional to B means A=k/B
Reply 8
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thp6
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Ok, so the first line tells you that h=k/p
The second line tells you that p=k√t.

The values for ‘k’ in each equation aren’t the same, this is just the standard letter to use.

If we substitute the values for h and p into the first equation, we get 9=k/4, so k is 36, and so h=36/p.
If we substitute the values for t and p into the second equation, we get 4=k√64, so k in this case is 0.5, and so p=0.5√t.

To find h in terms of t, we substitute the ‘p’ in h=36/p with 0.5√t, giving you h=36/(0.5√t), which you could write as h=72/√t.
Reply 9
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Mustyyyyy
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Original post by thp6
Ok, so the first line tells you that h=k/p
The second line tells you that p=k√t.

The values for ‘k’ in each equation aren’t the same, this is just the standard letter to use.

If we substitute the values for h and p into the first equation, we get 9=k/4, so k is 36, and so h=36/p.
If we substitute the values for t and p into the second equation, we get 4=k√64, so k in this case is 0.5, and so p=0.5√t.

To find h in terms of t, we substitute the ‘p’ in h=36/p with 0.5√t, giving you h=36/(0.5√t), which you could write as h=72/√t.

Wow you explained that so well. Thanks:biggrin:

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