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. $h(n)=49000+49000(1.035 n)$ $h(n)=49000+1250^{n}$ $h(n)=49000+1715 n$ $h(n)=49000(1.035)^{n}$ $h(n)=42000(1.045)^{n}$
Solution
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 ：\(\boxed{h(n)=49000+1715 n}\)
