Leontyne sings for $1,000 an hour. her rate increases by 50 percent after midnight. if she sings one night from 8: 30 pm until 1: 00 am, how much should she be paid.

From 8.30 pm to 12 : 00

Difference = 12 : 00 - 08:30 = 3 : 30

3 hours 30 minutes = 3.5 hours.

Total for those hours = 3.5 * 1000 = $3500

From 12:00 to 1:00 am  = 1 hour.

50% increase =  50% of 1000 = .50 * 1000 = 500

So it will increase to 1000 + 500 = $1500 per hour.

For the 1 hour extra, 1 * 1500 = $1500

Total = $3500 + $1500 = $5000

She will be paid $5000

Are you trying to figure out the volume?