Andre, Lin, and Kiran are studying their water usage from showers. They need to find the flow rate of their shower heads, which measures how much water flows out when the shower head is turned to the maximum. Flow rate is measured in gallons per minute. 

To collect data, each student turns on the shower head to the maximum and measures the time it takes to fill a container of a known volume.  

• Andre fills a 5-gallon container in 2 minutes.
• Lin fills a 3-gallon container in minute.
• Kiran fills a 1.5-gallon container in minute.

For each question, explain or show your reasoning.

1. Whose shower head has the highest flow rate?

2. If the students wish to limit their water use to no more than 10 gallons a shower, to what amount of time do they need to limit their shower?
3. The shower head in one student's home was on for a total of 19.5 minutes and 58.5 gallons of water was used. Whose home was that?

For each question, explain or show your reasoning. Organize it so it can be followed by others. If you get stuck, consider drawing a double number line diagram, table, or tape diagram.

1. A small building gets its electricity from two sources: solar panels and a power company. The ratio of electricity from solar panels to the electricity from the power company is 4 to 3.

   In a typical week, the building uses 42 kilowatt-hours (kWh) of electricity. How many kWh of electricity is from solar panels?

   

2. The building has two rooms: One is cooled with a ceiling fan and the other with an air conditioner. Both appliances are turned on and off at the same time. It takes 0.2 kWh to power the fan for 6 hours and 4 kWh to power the air conditioner for 6 hours.

   During a warm week, the fan and air conditioner used a total of 42 kWh of electricity. For how many hours were they on?