Gas tank problem

[DMc]

On a full tank of gas, the # of minutes driven (t) since leaving the gas station and the # of gallons (g) gas left in the tank are related by a linear function. After 40 minutes of driving, there are 13 gallons left and after an hour there are 10 gallons left

a id the dependent and independent variables

b determine the slope and its meaning in context re the problem

c what is the linear function

d how much gas is left after 10 minutes

e determine the g- intercept and its meaning re the problem

f how long has the car been driven if only 5 gallons left in tank

g determine the t- intercept and its meaning

 

[stapel]

On a full tank of gas, the # of minutes driven (t) since leaving the gas station and the # of gallons (g) gas left in the tank are related by a linear function. After 40 minutes of driving, there are 13 gallons left and after an hour there are 10 gallons left

So you have been given two data points, and you have been told that those points are on a straight line.

a id the dependent and independent variables

I'm sorry, but this makes no sense. Please reply with corrections.

b determine the slope and its meaning in context re the problem

What did you get when you plugged the two points into the slope formula? How did you interpret the slope in the given context?

c what is the linear function

You picked one of the given points, and plugged that point and the slope you got in (b) into one of the straight-line equations, and... then what? Where are you stuck?

Please reply showing your work and reasoning so far. Thank you!