Question

Which scenario has a domain with a continuous number of values?
Scenario 1: Shaun uses y gallons of water after x minutes during a 10-minute shower.
Scenario 2: Heather buys x boxes of cereal at the same price for a total cost of y.

Scenario 1

Scenario 2

Both

Neither

Answer 1

no but ik someone who can help u...hopefully...

Answer 2

@Luigi0210

Answer 3

can u askk them to hellp

Answer 4

@jdoe0001

Answer 5

thats what im doing right now....calling them over here hopefully they'll come...lol

Answer 6

@uri

Answer 7

np...hope someone helps...

Answer 8

@Ashleyisakitty

Answer 9

"Continuous number of values" notice the first scenario says they only take a 10 minute shower....doesn't sound too continuous to me...

Answer 10

so it a

Answer 11

Because notice it asks about Domain..."x value" after 10 minutes...the x-value stops....so the domain stops......the second scenario....we never know how many boxes of cereal they buy...so It is a continuous domain....so I would say yes...Scenario 1 = NOT continuous....Scenario B = Continuous

Answer 12

thxxxxx

Answer 13

hmmm, it can't be B
because if the price is always the same for cereal, surely Heather will always be buying the same amount, and thus "x" will be static

Answer 14

Hmm...but price in B is the range....the range isn't specified therefor we cannot see an end to the domain...the 'y' "price" would depend on the amount of boxes he buys 'x' right?

Answer 15

well, B looks like a vertical line, then again, a vertical line is continuous :)

Answer 16

she buys "x", but if the price is negligible the likelyhood is she'll be buying about the same, unless something exigent happens, like catering or a holiday, but that's not part of the scenario :)

Answer 17

I'm just thinking in terms of if Scenario B said....she buys 'x' boxes of cereal at the same price for a total cost of $10

Since we now know what the range is...$10....we can assume she only buys a certain amount of 'x' boxes...so this wouldn't be continuous in the domain....

so I flipped that reasoning around here lol

Answer 18

A looks continuous too, over an interval of [0, 10] minutes
because shaun will be using say 1 gallon in 1 minute, then 2 gallons in 2 minutes and so on
look continuous just not as vertical as B

Answer 19

Yeah but see what I'm looking at for A is....the domain is the time in minutes 'x' ....since that only goes up to 10 minutes....the domain is not continuous after that 10 minutes....That's why I was saying no A does not have a continuous amount of values for 'x'

Answer 20

right, A is not continuous on an interval of \([0, \infty)\)
but it's continuous on an interval of [0, 10]

Answer 21

if Shaun were to be continuous from \((0, +\infty)\) then he'd be a fish or aquaman heheh

Answer 22

lmao....hmmm I guess that's true lol