Answer:
[tex]\boxed {\tt 4.8 \ miles}[/tex]
Step-by-step explanation:
Let's set up a proportion using the following setup.
[tex]\frac{miles }{minutes }= \frac{miles }{minutes }[/tex]
We know Linda can run 6 miles in 55 minutes.
[tex]\frac{6 \ miles }{55 \ minutes }= \frac{miles }{minutes }[/tex]
We don't know how many miles she can run in 44 minutes. We can say she runs x miles in 44 minutes.
[tex]\frac{6 \ miles }{55 \ minutes }= \frac{x \ miles }{44 \ minutes }[/tex]
[tex]\frac{6 }{55 }= \frac{x }{44 }[/tex]
We want to solve for x(miles in 44 minutes). We must isolate x on one side of the equation.
x is being divided by 44. The inverse of division is multiplication. Multiply both sides of the equation by 44.
[tex]44*\frac{6 }{55 }= \frac{x }{44 }*44[/tex]
[tex]44*\frac{6 }{55 }=x[/tex]
[tex]44*0.109090909=x[/tex]
[tex]4.8=x[/tex]
x= 4.8 miles
Linda can run 4.8 miles in 44 minutes.
