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

x would represent the number of months he ran and added on to the mileages.

It is the month because are starting at 0.5 miles. Then we increase 2 miles every month. so it is 2x.  

x is the number of months

Step-by-step explanation:

On the first run, hence after 0 months, Sean ran 0.5 miles or

After 1 moth, Sean increased 2 miles to his run, hence during the first and second month, Sean ran 2.5 miles or

After 2 moths, Sean increased 2 miles more to his run, hence during the second and third month, Sean ran 4.5 miles or

After 3 moths, Sean increased 2 miles more to his run, hence during the third and fourth month, Sean ran 6.5 miles or

Using the same rule, we see that after x-months Sean will run

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation:

7

step-by-step explanation: