6. A leaky valve on the water meter overcharges the residents for one gallon of water every 3 1/3 months.
The overcharged amount w varies directly with
time t. Find the equation that models this direct
variation. How many months it will take for the
residents to be overcharged for 9 gallons of water?

A. w = 3/10 t; 2 7/10 months

B. w= 3/10 t; 30 months

C. w= 10/3 t; 30 months

D. w= 10/3 t; 2 7/10 months

34

step-by-step explanation:

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.

look at the picture.

y-intercept for the function on a picture is 4 → point (0, 4).

y-intercept for the function

is for x = 0. substitute:

y-intercept is 8 → point (0, 8).