It is given that the current monthly income of family A is $5,400. It is also given that the family receives a raise which is equivalent to 10% of their current monthly income.
It is required to find the new monthly income based on the raise.
To do this, calculate 10% of the current income (this gives the raise), and then add it to the current income to get the new monthly income.
10% of the current monthly income is:
[tex]10\%\; of\; 5400=\frac{10}{100}\times5400=\$540[/tex]
This gives the raise in the income. Add this to the current monthly income:
[tex]\$5400+\$540=\$5940[/tex]
Hence, the correct answer is $5,940.
