SOLUTION: Oil is leaking from my car�s engine, so I put a drip pan underneath it right before I go to bed. When I wake up there is 3/4 of a quart in the pan. When I check it out again 4 hou

Question 821416: Oil is leaking from my car�s engine, so I put a drip pan underneath it right before I go to bed. When I wake up there is 3/4 of a quart in the pan. When I check it out again 4 hours later there is 5/4 of a quart in the pan.
a) Identify the linear equation for the volume of oil as a function of time. Measure time starting when I wake up in the morning.
b) What is the meaning of this line�s slope.
c) Describe how I could use this equation to figure out how long I slept.
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
Oil is leaking from my car�s engine, so I put a drip pan underneath it right before I go to bed. When I wake up there is 3/4 of a quart in the pan. When I check it out again 4 hours later there is 5/4 of a quart in the pan.
a) Identify the linear equation for the volume of oil as a function of time. Measure time starting when I wake up in the morning.
b) What is the meaning of this line�s slope.
c) Describe how I could use this equation to figure out how long I slept.
a)
0,3/4
4,5/4
y=mx+b
3/4=m*0+b
3/4=b
5/4=4m+b
5/4=4m+3/4
2/4=4m
2/16=m
1/8=m
y=x/8+3/4
b)
slope =1/8
every hour it leaks 1/8

c) find y=0
0=x/8+3/4
-6/8=x/8
x=-6
He slept 6 hours

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