Question

For each mile that Jason runs, Megan runs 1/4 mile farther. If Jason ran 6 miles, how far did Megan run?

Answer 1

Method 1
we have to calculate the ratio (r) between number of miles ran by Jason, and the number of miles run byMegan.

r=1 mile / (1+1/4) miles
r=1 mile / [(4+1)/4 miles]
r=1 mile / 5/4 miles
r=4/5


Therefore, if Jasen ran 6 miles, we suggest this equation:
6/x=4/5
6*5=4*x
30=4x
4x=30
x=30/4=7.5.

answer: 7.5 miles.

Method 2
f(x)=number of miles ran by Megan.
x=number of miles ran by Jason.

we suggest this function:
f(x)=x+x/4
f(x)=(4x+x)/4
f(x)=5x/4


Then ; if Jason ran 6 miles.

x=6

f(6)=(5*6) /4=30/4=7.5


Answer: 7.5 miles.