Answer:
631139.04 kilometers in 3 years
Step-by-step explanation:
Let x = how many kilometers she walk
y = time (minutes)
Since she walks 4km in 10 minutes.
x = 4, y = 10
(4,10)
But how many minutes if she walk only a kilometer? Divide x and y by 4.
(1,2.5)
She walks a kilometer under 2.5 minutes.
Now finding rate of changes.
[tex] \displaystyle \large{m = \frac{10 - 2.5}{4 - 1} } \\ \displaystyle \large{m = \frac{7.5}{3} } \\ \displaystyle \large{m = 2.5}[/tex]
Since m = 2.5
and of course, the function should be proportional so the equation should be y = mx.
[tex]\displaystyle \large{y = 2.5x }[/tex]
Since time should be minutes instead of years.
Since 3 years = 1577847.6 minutes
[tex]\displaystyle \large{1577847.6 = 2.5x}[/tex]
Divide both sides by 2.5
[tex]\displaystyle \large{ \frac{1577847.6}{2.5} = x} \\ \displaystyle \large{631139.04 = x }[/tex]
