Question

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]

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.

Answer 1

well you know your units so convert pipe b to gallons

840 liters=approx 221.635883905 gallons <<in an hour

pipe a =4 gallons a minute

60 times 4=240 gallons<<<per hour


240>221.6 gallons

pipe a fills it faster.

Answer 2

ok thats what i got

Answer 3

as for part b. using your now conversions, make the y axis to 500.

the x axis with an interval of 15 minutes<<0.25 hour

Answer 4

PIPE A: 240 gallons per hour/4>>>>=60 gallons every .25 hour

Answer 5

im sure you can round pipe b from 221.635883905 gallon to 220 gallons, or 55 gallons every 15 min<<0.25 hours

Answer 6

from there your graph should be straightfoward

Answer 7

so that is the x or y axis?

Answer 8

your x axis will be time, so every 15 minutes

Answer 9

y axis is gallons

Answer 10

then using your now intervals, plot the points>>

Answer 11

I'm confused on what an interval is @dtan5457 and do i need to say x & y for pipe a and b

Answer 12

interval is the rate per pipe

Answer 13

let me attempt to draw this

Answer 14

see the different thing is that i can't draw the graph? for the assignment i don't have to all i need to do is tell them. But I'm confused do i need to say X-axis and Y-axis

Answer 15

then what does your assignment ask for?

Answer 16

ohhh 0,15,30,45,60 thats the intervals. and it says to find for part B= 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.

Answer 17

well scale for x axis is definitely 15 min<<as it asks for 0.25 hours

Answer 18

for y axis it goes up to 500, so you can make up an interval that makes sense

Answer 19

considering both pipes are about 55-60 gallons every 15 minutes, they'll reach 500 in about 10 plotting points so...

Answer 20

if i was making this graph i'd make the y axis about 0,50,100,150,200 etc

Answer 21

50's

Answer 22

ohhhh :D so the ? doesn't call for really any intervals right??

Answer 23

intervals=scales basically

Answer 24

there isn't really much of a right answer here but reasonable ones

Answer 25

ohhhhhh so when i write the scales it should be like 0,50,100,150,200

Answer 26

that would work.

Answer 27

and the x-axis scales would be what?

Answer 28

time>>>15 min,30 min,45 min, etc

Answer 29

:D thankssss

Answer 30

so thats the answer I'm going to put Part B: Y-axis is 500 gallons. The x-axis is 15 minutes. Some appropriate scales for the y-axis is 0,50,100,150,200,250,300,350,400,450,500. The y-axis scale can be 15,30,45,60 minutes. @dtan5457

Answer 31

*the x-axis can be 15, 30, 45

Answer 32

include 0 too.

Answer 33

is a computer checking this or an actual person?

Answer 34

teacher so an actual person because its a place i have to type but on multiple ?'s a computer