Answer
Between 4170 and 6712 gallons
Work Step by Step
Let g be the number of gallons. The charge for up to 7500 gallons of water is 10.40+0.0059g.
Write and solve an expression showing the water charge between 35 and 50 dollars, inclusive.
35≤10.40+0.0059g≤50⟶ subtract 10.40 from each part
35−10.40≤10.40+0.0059g−10.40≤50−10.40⟶ subtract
24.60≤0.0059g≤39.60⟶ divide each part by 0.0059
24.60÷0.0059≤0.0059g÷0.0059≤39.60÷0.0059⟶ divide
4169.5≤g≤6711.9