Question

An automated production line uses distilled water at a rate of 300 gallons every 2 hours to make shampoo. After the line had run for 7 hours, planners noted that 2,500 gallons of distilled water remained in the storage tank. Write a linear equation relating the time in hours x since the production line began and the number of gallons y of distilled water in the storage.

My answer.

Rate is 300/2=150
(7,2,500)
x^1,y^1

y-y^1=m(x-x^1)
y-2,500=150(x-7)
y-2,500=150x-1050
y-2,500+2,500=150x-1050+2,500
Y= 150x+1450

Is this right because I used the point-slope form to write the equation of the line with the given slope and point.

Answer 1

I agree