I would say the answer is D. Y=10x -1700. I think this because if you do the work: which changes the value of -1700 to 1700 when switching to other side leaving the equation 1700=10x so you just divide to find your final answer which is 170 minutes to get 1700 gallons in total. I hope this helps!
Answer:
Option C is correct
[tex]y = 10x+1700[/tex]
Step-by-step explanation:
Using Slope-intercept form:
The equation of line is given by:
[tex]y=mx+b[/tex] .....[1]
where,
m is the slope or rate of the line.
b is the y-intercept.
As per the statement:
Here, y represents the amount of water in the tank and x be the time in min.
A family’s well pumps water into a tank at a rate of 10 gal/min.
⇒[tex]m = 10[/tex] gal/min.
It is also given that: In the morning, the tank has 1700 gal.
Initial value y(0) = b = 1700 gal
Substitute the given values in [1] we have;
[tex]y = 10x+1700[/tex]
Therefore, an equation models the amount of water y in the tank after the well pumps for x min is, [tex]y = 10x+1700[/tex]
