Question

Which are true or false

Answer 1

we are given

`y=19.75x`

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

`y=19.75x`

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:

`y=19.75x`

we can compare it with

y=mx

where m is the rate

so, we get

`m=19.75`

while we are given

the water in swimming pool increase about 100 gallons by every 5 minutes

so, we get rate as

`m=(100)/(5) =20` 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

`150=19.75* 8`

`150=158`

Since, left side is not equal to right side

so, this can not be point

so, this is FALSE