Problem

Krystal is considering job offers from two different companies.
Company A offered her a starting salary of $\$ 42,000$ with a $4.5 \%$ raise at the end of each year. Company B offered her a starting salary of $\$ 49,000$ with a raise of $\$ 1715$ at the end of each year.

Define a function, $h$, that expresses Krystal's varying salary at Company B in terms of the varying number of years, $n$, since she accepted the position.
$h(n)=49000+49000(1.035 n)$
$h(n)=49000+1250^{n}$
$h(n)=49000+1715 n$
$h(n)=49000(1.035)^{n}$
$h(n)=42000(1.045)^{n}$

Answer

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Answer

\(\boxed{h(n)=49000+1715 n}\)

Steps

Step 1 :Define a function, $h$, that expresses Krystal's varying salary at Company B in terms of the varying number of years, $n$, since she accepted the position.

Step 2 :The starting salary at Company B is $49,000 and she gets a raise of $1,715 at the end of each year. This means that her salary increases linearly with the number of years she works at the company.

Step 3 :Therefore, the function should be of the form $h(n) = a + b*n$, where $a$ is the starting salary and $b$ is the annual raise.

Step 4 :The function that expresses Krystal's varying salary at Company B in terms of the varying number of years, $n$, since she accepted the position is $h(n)=49000+1715 n$

Step 5 :\(\boxed{h(n)=49000+1715 n}\)

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