Kaitlin takes classes at both Westside Community College and Pinewood Community College. At Westside, class fees are $\$ 98$ per credit hour, and at Pinewood, class fees are $\$ 115$ per credit hour. Kaitlin is taking a combined total of 19 credit hours at the two schools.
Suppose that she is taking $w$ credit hours at Westside. Write an expression for the combined total dollar amount she paid for her class fees.
Answer
Final Answer: The combined total dollar amount she paid for her class fees is \(\boxed{17w + 2185}\).
Step 1 ：Kaitlin is taking classes at both Westside Community College and Pinewood Community College. At Westside, class fees are $98 per credit hour, and at Pinewood, class fees are $115 per credit hour. Kaitlin is taking a combined total of 19 credit hours at the two schools.
Step 2 ：Let's denote the number of credit hours she is taking at Westside as \(w\).
Step 3 ：The total cost of Kaitlin's classes is the sum of the cost of her classes at Westside and the cost of her classes at Pinewood. The cost of her classes at each school is the cost per credit hour times the number of credit hours she is taking at that school.
Step 4 ：Therefore, the total cost is \(98w + 115(19 - w)\), where \(w\) is the number of credit hours she is taking at Westside.
Step 5 ：By simplifying the expression, we get \(98w + 115*19 - 115w\), which simplifies to \(17w + 2185\).
Step 6 ：Final Answer: The combined total dollar amount she paid for her class fees is \(\boxed{17w + 2185}\).
