+After graduating from college, Carlos receives two different job offers. Both pay a starting salary of $60000 per year,but one job promises a $3600 raise per year, while the other guarantees a 5% raise each year.Complete the tables below to determine what his salary will be after tyears.Round your answers to the nearest dollar.15101520tyearsSalarywith$3600raiseperyear5101520tyearsSalarywith5%raiseperyear

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Part 1

Salary with $3600 raise per year

we have a linear equation of the form

y=mt+b

where

m=3,600

b=60,000

therefore

y=3,600t+60,000

Complete the table

For t=1

y=3,600(1)+60,000

y=63,600

For t=5

y=3,600(5)+60,000

y=78,000

For t=10

y=3,600(10)+60,000

y=96,000

For t=15

y=3,600(15)+60,000

y=114,000

For t=20

y=3,600(20)+60,000

y=132,000

Part 2

Salary with 5% raise per year

we have an exponential growth function of the form

[tex]y=a(1+r)^t[/tex]

where

a=60,000

r=5%=0.05

substitute

[tex]\begin{gathered} y=a(1+0.05)^t \\ y=60,000(1.05)^t \end{gathered}[/tex]

Complete the table

For t=5

y=60,000(1.05)^5

y=76,576,89

For t=10

y=60,000(1.05)^10

y=97,733.68

For t=15

y=60,000(1.05)^15

y=124,735.69

For t=20

y=60,000(1.05)^20

y=159,197.86