Question

What can you say about the relationship between M and P? Which letter is the correct answer?

Answer 1

Choice C is correct

Explanation:

The first step is to re-write the equations in exponential form.

The first equation can be written as;

`(M)/(N)=10^(4)` since the base is 10 and 4 the exponent.

The second equation can be written as;

`(P)/(N)=10^(5)`

The second step is to make N the subject of the formula in both equations.

Solving for N from this equation
`(M)/(N)=10^(4)`, yields;

`N=(M)/(10^(4))`

Solving for N from the second equation
`(P)/(N)=10^(5)`, yields;

`N=(P)/(10^(5))`

Therefore;

`(M)/(10^(4))=(P)/(10^(5) )\\\\P=10M`