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Sean began jogging to live a healthier lifestyle. On his first run, he ran one-half mile. He increased his workouts by adding two miles a month to his run. He wrote the equation f(x)= 0.5 + 2x to model his progress. The variable x represents the number of

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Variable x represents the number of runs Sean takes.

Answer with explanation:

→Total Distance Ran by Sean in his first run

                      [tex]\rightarrow \frac{1}{2}=0.5[/tex]

→Number of workout in miles that is run increased in a month by Sean =2 Miles

→Equation Wrote by Sean is

  f(x)= 0.5 + 2 x

This is a Linear equation in  Slope Intercept form

y = m x +c

c=0.5

m=2,which is angle made by line with positive direction of X axis.

→y=Total Distance run after x months.

→x=Number of  months=1,2,3,4,5........12,...

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