# Linear Equations Mathematics & Economics Math Problem (Math Problem Sample)

Formation and interpretation of a straight linear equation

source..Linear Equations

Let Toms’ annual salary after x years be denoted by y in dollars.

Step 1

At the start, when x=0 years, y=$ 75,000.00 and when x=4 years, y=$ 81,000.00

The annual rate of change in the Toms’ salary is given by

Rate of change= ∆y∆x=$ 81,000.00-$75,000.00(4-0) years=$ 6,000.004 years=1,500.00 $/year (1)

Step 2

The model of the Toms’ annual salary y in dollars after x years is in slope-intercept form is given by

y=∆y∆xx+C.

We have adopted the notation by (Anthony & Burgess, 2014), where in this case, ∆y∆x=1,500.00 $/year is the annual rate of change of salary and C is a constant denoting the starting annual salary. Using ∆y∆x=1,500.00 $/year we can write the model equation as

y=1500x+C.(2)

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