Mathss
posted by K
Item 20
A bathtub is draining at a constant rate. After 2 minutes, it holds 28 gallons of water. Three minutes later, it holds 7 gallons of water. Write an equation that represents the number y of gallons of water in the tub after x minutes.

Steve
we have two data points: (2,28) and (5,7)
so, the slope of the line is (728)/(52) = 7
Using the pointslope form of a line, the function is
y28 = 7(x2)
or
y = 427x
Respond to this Question
Similar Questions

Math/Physics
Please check my work below and comment. A tank initially contains 80 gallons of fresh water. A 10% acid solution flows into the tank at the rate of 3 gallons per minute. The wellstirred mixture flows out of the tank at the rate of … 
math
Water is Pumped into an underground tank at a constant rate of 8 gallons per minute.Water leaks out of the tank at the rate of (t+1)^½ gallons per minute, for 0<t<120 minutes. At time t=0, the tank contains 30 gallons of water. … 
calculus
Water is Pumped into an underground tank at a constant rate of 8 gallons per minute.Water leaks out of the tank at the rate of (t+1)^½ gallons per minute, for 0<t<120 minutes. At time t=0, the tank contains 30 gallons of water. … 
5th grade math
You have 2 pails. One holds 4 gallons and the other holds 7 gallons. How can you go to the lake and bring back exactly 5 gallons of water? 
algebra
a barrel contains 163 gallons of water and is being drained at a constant rate of gallons per hour write an equation that models the number of gallons g after t hours 
math 116
Someone please help me with this quesion. A barrel contains 192 gallons of paint and is being drained at a constant rate of 11 gallons per minute. Write an equation that number of gallons,g,after t minutes. The equation that models … 
math
a tub takes 4 minutes to fill and holds 28 gallons of water. At this rate, how long would it take to fill a bathtub that held 63 gallons of water? 
math
A pool can hold 2050 gallons of water, and it is being filled at a rate of 50 gallons per hour. The pool currently has 300 gallons in it. a) Write a linear equation which represents number of gallons in the pool. b) How long will it … 
algebra
Susan is filling two ponds in her back yard. She has to dig the hole, put the liner in, and fill the pond. The first pond holds 75 gallons of water and is filling at a rate of 7 gallons of water per hour. The second holds 115 gallons … 
algebra
a bathtub in your home has a drain that leaks. When you fill you bathtub with 30 gallons of water you notice that after every 5 minutes you only have 20 gallons remaining, so the drain is leaking 2 gallons every minute which represents …