Rita's starting annual salary is $46,500. At the beginning of each new year, she
receives a $1,975 raise. Write a recursive formula to represent her salary
after n years. Show how to use this formula to find the salary for each of her first five
years of work.



Answer :

The linear equation to find her yearly salary: F(x) = 1,975x + 46,500

what is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

Rita's starting annual salary is $46,500.

At beginning of each new year, she receives a $1,975 raise.

So, the linear equation to find her yearly salary:

F(x) = 1,975x + 46,500

So, at First Year

F(1) = 1,975(1)  + 46,500 = $48,475

Now, the Second Year

F(2) = 1,975(2)  + 46,500= $50,450

Now, the Third Year

F(3) = 1,975(3)  + 46,500= $52,425

Now, the Fourth Year

F(4) = 1,975(4)  + 46,500= $54,400

and, Fifth Year

F(5) = 1,975(5)  + 46,500= $56,375

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