A man on the third floor of a building shouts down to a person on the street. If the man is 25 feet up and the distance between
2 answers:
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we are given
Here,
y is the number of gallons of water in the pool
x is the number of minutes the truck has been filing the pool
now, we will verify each options
option-A:
When x=1
then y=19.75
so, for 1 minute , number gallons =19.75
so, this is FALSE
option-B:
Since, we have
It is similar to equation of line
y=mx+b
But b=0
It means that it passes through origin
so, this is TRUE
option-C:
we can compare it with
y=mx
where m is the rate
so, we get
while we are given
the water in swimming pool increase about 100 gallons by every 5 minutes
so, we get rate as
gallons per minute
this is close to 19.75
so, they are approximately equal
so, this is TRUE
option-d:
x-value and y-value will show relationship
and ratio will always be constant or equivalent
because it has linear relationship
so, this is TRUE
option-e:
We need to check
(8,150) ..so, x=8 and y=150
we can plug this in our equation
and we get
Since, left side is not equal to right side
so, this can not be point
so, this is FALSE
"determine the location" or namely, is it inside the circle, outside the circle, or right ON the circle?
well, we know the center is at (1,-5) and it has a radius of 5, so the distance from the center to any point on the circle will just be 5, now if (4,-1) is less than that away, is inside, if more than that is outiside and if it's exactly 5 is right ON the circle.
well, we can check by simply getting the distance from the center to the point (4,-1).