Muriel collects rainwater in a large barrel that weighs 20 pounds. When there are 10 gallons of water in the barrel, the total weight of the barrel and the water is 103.4 pounds. When there are 20 gallons of water, the total weight is 186.8 pounds.

Question

Which equation and graph match this situation?

Group of answer choices

y=8.34x + 20
y=8.34x
y=20x + 8.34

(can't post the graphs, but I hope the answer choices are enough!)

Answer 1

The correct equation that matches this situation is:

y = 8.34x + 20

This equation represents the weight of the barrel and water (y) in pounds as a function of the number of gallons of water in the barrel (x).