Question

If p varies directly with T and p =105 when T=400.Find p when T =500

Answer 1

Answer:

p = 131.25

Step-by-step explanation:

The variation p varies directly with T is written as

p = kT

where k is the constant of proportionality

To find p when T =500 we must first find the formula for the variation

That's

when p = 105 and T = 400

105 = 400k

Divide both sides by 400

$k = \frac{21}{80}$

So the formula for the variation is

$p = \frac{21}{80} T$

when

T = 500

Substitute it into the above formula

That's

$p = \frac{21}{80} \times 500$

Simplify

The final answer is

p = 131.25

Hope this helps you