Problem

The number of seconds that it takes for a kettle to boil, n, is inversely proportional to its power in kilowatts, p.
The equation of proportionality is
n=270p
Work out the power of the kettle if it takes 90 seconds to boil.
If your answer is a decimal, give it to 1 d.p.

Answer

Expert–verified
Hide Steps
Answer

3.0 is the power of the kettle in kilowatts.

Steps

Step 1 :Given that the number of seconds to boil, n, is inversely proportional to the power in kilowatts, p. The equation of proportionality is n=270p

Step 2 :We need to find the value of p when n=90 seconds. Substitute n=90 into the equation:

Step 3 :90=270p

Step 4 :To solve for p, multiply both sides by p and then divide by 90:

Step 5 :p=27090

Step 6 :p=3.0

Step 7 :3.0 is the power of the kettle in kilowatts.

link_gpt