2. Jerry has a new job and earns a salary of $45,000. Victoria has a new job and earns a salary of $54,000. Jerry will receive a salary increase of $2,500 per year, and Victoria will receive a salary increase of $1,500 per year. Which equation can be used to find x , the number of years it will take Jerry to earn the same salary as Victoria?

Jerry will earn the same as Victoria in 9 years.

Step-by-step explanation:

Giving the following information:

Jerry:

Net income= 45,000 + 2,500x

Victoria:

Net income= 54,000 + 1,500x

x= number of years

Now, we need to equal both formulas and isolate x:

45,000 + 2,500x = 54,000 + 1,500x

1,000x = 9,000

x= 9

Jerry will earn the same as Victoria in 9 years.

Prove:

Jerry= 45,000 + 2,500*9= $67,500

Victoria= 54,000 + 1,500*9= $67,500

step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x->   and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)