Answer:
[tex]1\frac{1}{4}[/tex]gallon/hour
Step-by-step explanation:
After [tex]2\frac{1}{4}[/tex] hour a chainsaw has used [tex]2\frac{13}{16}[/tex] gallons of fuel.
[tex]2\frac{1}{4}[/tex] hours = [tex]\frac{9}{4}[/tex] hours
[tex]2\frac{13}{16}[/tex] gallons = [tex]\frac{45}{16}[/tex] = 2.8125 gallons
The chainsaw used fuel after [tex]\frac{9}{4}[/tex] hours = [tex]\frac{45}{16}[/tex] gallons
The chainsaw used fuel in 1 hour = [tex]\frac{\frac{45}{16}}{\frac{9}{4}}[/tex]
= [tex]\frac{45}{16}[/tex] ÷ [tex]\frac{9}{4}[/tex]
= [tex]\frac{45}{16}[/tex] × [tex]\frac{4}{9}[/tex]
= [tex]\frac{180}{144}[/tex]
= [tex]\frac{90}{72}[/tex]
= [tex]\frac{30}{24}[/tex]
= [tex]\frac{15}{12}[/tex]
= [tex]\frac{5}{4}[/tex]
= [tex]1\frac{1}{4}[/tex] gallons of fuel
Chainsaw used [tex]1\frac{1}{4}[/tex] gallons of fuel in each hour
