Question

2) Jose has a new job and earns a salary of $48,000. Victor has a new job and earns a salary of $59,000. Jose will receive a salary increase of $2,800 per year and Victor will receive a salary increase of $1,700 per year. Which equation can be used to find x, the number of years it will take Jose to earn the same salary as Victor?

Answer 1

Answer: 48,000 + 2,800x = 59,000 + 1,700x

Step-by-step explanation:

Answer 2

Answer:

y = b + kn

Step-by-step explanation:

In any given year, the salary of each will be given by the equation

y = b + kn where

y = Salary

b= Initial salary before increment

k= Increment

n= is the year in question

Thus, this can be proven by equating the salaries of both workers.

Jose's salary will be $48,000 + $2800n

Victor's salary will be $59000 + $1700n

Thus, to get the particular year, we equate both as

$48,000 + $2800n = $59000 + $1700n

$2800n -$1700n =$59,000 - $48,000

       $1100n =$11000

Canceling the dollar signs throughout, we get

n = 11000/1100 = 10 years.

If you worked his out, you will get that in the 10th year, both salaries will be $76,000.

Thus, the equation is

y = b + kn

with the variables as explained above.