Question

Frazier has $1,200 in savings. He works because he is saving money for college, and he earns $9 an hour. If Frazier saves 25 percent of his net pay, after 20 percent is taken out for tax, identify the expression which represents Frazier's savings.

A) 1.8x + 1,200
B) 3.6x + 1,200
C) 7.2x + 1,200
D) 9x + 1,200

Answer 1

the correct answer is A..!! I think...:(

Answer 2

Answer: The correct option is (A)
`1.8x+1200.`

Step-by-step explanation: Given that Frazier is saving money for college and has $1200 in savings. He earns $9 per hour. He saves 25% of his net pay after 20% taken out for tax.

We are to identify the expression that represents Frazier's savings.

Let, x represents the number of hours for which Frazier works.

So, the net pay of Frazier = $ 9x.

Since 20% of the net pay is taken out for tax, so total pay of Frazier after taking out tax is given by

`I_t=9x-20\%* 9x=9x-(20)/(100)* 9x=9x-(9x)/(5)=(36x)/(5).`

Now, Frazier's savings from his net pay is given by

`I_s=25\%* (36x)/(5)=(25)/(100)* (36x)/(5)=(9x)/(5)=1.8x.`

Since Frazier has $1200 already in savings, so the equation representing Frazier's savings will be

`1.8x+1200.`

Thus, the required equation is
`1.8x+1200.`

Option (A) is CORRECT.