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 a. miles he runs. b. months he runs. c. miles he ran the first day. d. calories he burns.

B. Months he runs. f(x) is the total number of miles he runs during each month. He starts with 0.5 miles and adds (+) 2 miles each month. Therefore, x must be the number of months. For example, month 1 (x) he runs 2.5 miles: 2.5 = 0.5 + 2(1); x=1.

In all honesty, there really is no “work” per say to show. mainly it’s just using the process of elimination. the question is asking which domain(s) would be the most appropriate for the function c(n). n is the number of observed vehicles so right away, 1, 2, and 3 can be eliminated.why? 1, 2 start in the negatives and therefore it is impossible to observe negative cars. so, #4 would be the best answer to the given problem.