SOLUTION: 6.)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 o

Question 938467: 6.)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 t in hours since the production line began and the number of gallons g of distilled water in the storage tank. Write the equation in slope-intercept form
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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 t in hours since the production line began and the number of gallons g of distilled water in the storage tank. Write the equation in slope-intercept form.
***
slope-intercept form of equation: y=mx+b, m=slope, b=y-intercept
let t=hours of running time
300 gal/2hrs=150 gal/hr
After running for 7 hrs, water used=7*150=1050 gal
At zero time, water in storage tank=1050+2500=3550 gal
y-intercept=3550
slope=-150/hr
Equation: y=-150t+3550
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