Two people quit work and begin college at the same time. their salary and education information is given in the table below.

salary prior to school
years attending college
total cost of college
salary upon graduating
person a

$18,000
3
$45000
$33,000

person b
$27,000
4
$30,000
$37,000

choose the true statement.
a.
person a recovers their investment in a shorter amount of time.
b.
person b recovers their investment in a shorter amount of time.
c.
they recover their investments in the same amount of time.
d.
there is too little information to compare the time to recover their investments.

Person A recovers their investment in a shorter amount of time.

Step-by-step explanation:

Given : Two people quit work and begin college at the same time.

The total investment = years attending college ×prior salary+total cost of college

∴Total investment by person A = 3×18000+45000=54000+45000=$99000

Total investment by person B =4×27000+30000=108000+30000=$138000

Let x be the time in years of recovering the investment then

salary upon graduating times x  = total investment

∴ For A     $33000 x =$99000

⇒ x =3 years

For B    $37000 x=$138000

⇒x=3.72≈4 years

⇒ Person A  took lesser time than B to recover his investment.

Therefore,Person A recovers their investment in a shorter amount of time.