Question

Emma is on a cross-country road trip! She stops at a rest station to fill her gas tank and plans to drive for another 6 hours along the highway before making her next stop.
There is a linear relationship between the amount of gas left in her car's tank, in gallons, and the time since her last stop, in hours.
Time (hours) Amount of gas left (gallons)
1 9
1
2
2 7
3 4
1
2
4 2
Describe the rate of change for this relationship.
The amount of gas left
by
per hour.

Answer 1

I can't be sure which times match which amounts from the table as written. Using the first and last clear points (1 hour, 9 gal) and (4 hours, 2 gal):

slope = (2 − 9) / (4 − 1) = −7/3 ≈ −2.33

So the amount of gas left decreases by 7/3 (about 2.33) gallons per hour.

If you intended a different pair of points, tell me the correct times and amounts and I'll recompute.