Ivanna 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. Ivanna is taking a combined total of
12 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.
If Ivanna is taking w credit hours at Westside, then she is taking (12 - w) credit hours at Pinewood. The total dollar amount she paid for her class fees at Westside is $98 per credit hour multiplied by w credit hours, and the total dollar amount she paid for her class fees at Pinewood is $115 per credit hour multiplied by (12 - w) credit hours.
Therefore, the combined total dollar amount she paid for her class fees is:
98w + 115(12 - w)
To find the combined total dollar amount Ivanna paid for her class fees, we need to calculate the class fees at Westside and Pinewood separately and then add them together.
First, let's calculate the class fees at Westside. Since the class fees at Westside are $98 per credit hour and Ivanna took w credit hours at Westside, the class fees at Westside can be expressed as 98w.
Next, let's calculate the class fees at Pinewood. Since the class fees at Pinewood are $115 per credit hour and the combined total credit hours at both schools is 12, the credit hours at Pinewood can be expressed as (12 - w). Therefore, the class fees at Pinewood can be calculated as 115 * (12 - w).
Finally, to find the combined total dollar amount Ivanna paid for her class fees, we need to add the class fees at Westside and Pinewood together. Thus, the expression for the combined total dollar amount she paid for her class fees is:
98w + 115 * (12 - w)
if w at Westside, then the rest (12-x) are at Pinewood. So,
98w + 115(12-w)