Linear Problem...Need Help!

[lovies86]

You pull out the plug from your bathtub. After 40 seconds, there are 13 gallons of water left in the tub. One minute after you pull the plug, there are 10 gallons left. Assume that the number of gallons varies linearly with time since the plug was pulled.

a.) Define the variables
b.) Write the particular equation
c.) How many gallons would be left after 50 seconds
d.) How long will it take to empty the tub.
e.) Find the gallons-intercept. What does this number represent in the real world?
f.) Find the time intercept. What does this number represent in the real world?
g.) Sketch the graph.

 

[Deleted member 4993]

You pull out the plug from your bathtub. After 40 seconds, there are 13 gallons of water left in the tub. One minute after you pull the plug, there are 10 gallons left. Assume that the number of gallons varies linearly with time since the plug was pulled.

a.) Define the variables
b.) Write the particular equation
c.) How many gallons would be left after 50 seconds
d.) How long will it take to empty the tub.
e.) Find the gallons-intercept. What does this number represent in the real world?
f.) Find the time intercept. What does this number represent in the real world?
g.) Sketch the graph.

Please show your work, indicating exactly where you are stuck - so that we know where to begin to help you.

 

[mmm4444bot]

… the number of gallons varies linearly with time … Have you worked with equations of lines before?

I mean, given the coordinates of two points on a line, can you find the equation?

… (a) Define the variables Can you do this part?