Hailey is starting a new exercise program. the first day she will spend 30 minutes on a treadmill. she will increase her time on the treadmill by 5 minutes each day for two weeks. which function t(d), time in minutes, can be used to determine how many minutes hailey will spend on the treadmill on any specific day.

T(d) = 5d + 30

Step-by-step explanation:

Hailey is starting a new exercise program.

The first day she will spend 30 minutes on a treadmill.

She will increase her time on treadmill by 5 minutes each day for 2 weeks.

We have to form the function modeling this situation.

The equation will be in a linear form y = md + c

where c = constant term = 30 minutes

m = rate of change = Increase in time of exercise per day = 5

d = variable representing day

y = Second variable representing total time given for exercise

y = 5d + 30 or y = 5d + 30

We can rewrite the equation in the form of a function.

T(d) = 5d + 30

yes.. it's proven to be 36.