Ray has $200 and earns an allowance of $50 per month. His sister Amber has $300, but her allowance is only $25 per month. In how many months will they have the same amount of money? Please show your work.

They will have the same amount of money in 4 months

Step-by-step explanation:

In month 1..

Ray: $250   Amber: $325

In month 2...

Ray: $300   Amber: $350

In month 3...

Ray: $350   Amber: $375

In month 4...

Ray: $400   Amber: $400

you need to show us the graph.

step-by-step explanation:

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: