Question

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
miles he ran the first day.
calories he burns.
months he runs.
miles he runs.

Explanation:

Step1: Analyze the equation components

The equation is \( f(x) = 0.5 + 2x \). The \( 0.5 \) is the initial miles (first run), and the \( 2x \) represents the additional miles over time.

Step2: Relate to the context

He adds 2 miles per month. So the "2" is miles per month, and \( x \) should represent the number of months to get the total additional miles from the monthly increase. The other options don't fit: "miles he ran the first day" is 0.5, "calories" isn't in the equation, and \( f(x) \) is miles run, not \( x \).

Answer:

months he runs.