Question

MEDAL AND FAN FOR ALGEBRA 1 QUESTIONS.

Harris has two pipes to fill his aquarium. Pipe A can fill the aquarium at the rate of 4 gallons per minute. Pipe B can fill the aquarium at the rate of 840 liters per hour.

[1 gallon = 3.79 liters]

Answer 1

Part A: Which pipe will fill the aquarium faster? Justify your answer by comparing the rates after converting to the same units. (5 points)

Part B: If the total volume of the aquarium was 500 gallons and you checked on how full it was every 0.25 hours, describe appropriate scales on the x-axis and y-axis to graph the rate at which the faster pipe fills the aquarium. (5 points)

Answer 2

srry can't help u but my bff can
@Zoeeee

Answer 3

lol

Answer 4

Convert your gallons into litres or litres into gallons for the first one.

Answer 5

4 gallons = 15.1416 liters

Answer 6

That's litres per minute. Now change it to litres per hour so it matches the other rate.

Answer 7

4*3.79 = 15.16 liters/minute
15.16*60 = 909.6 liters/hour

Answer 8

Great! So which is faster? 909.6 litres/hr or 840 litres/hr? :) There's your answer to A.

Answer 9

So the answer is Pipe A right ?
& Then the work for the justification ?

Answer 10

Exactly. :)

Answer 11

And can you help me with Part B ?

Answer 12

Well, for part B you really don't have to figure anything out. It just wants to know what units you would use on the x and y axes. You're looking at gallons (as per the question) and time in 15 minute increments. Remember, the gallons are pouring in pretty fast (if you wanted to convert the 840 litres/hour to gallons, you could compare rates). The first rate 4 gallons/minute would be 240 gallons/hour, which means in 15 minutes it would have filled 60 gallons already (240/4). In one hour, you'll have 480 gallons, so almost a full tank with that one. You might just want to use 20, 30, or 60 gallon increments for your y axis and 15 minute increments for your x axis (so the graph would show gallons over time).

I feel like that's really wordy. Does it make sense?

Answer 13

That makes total sense (: