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.

A) T (d) = 5d + 30

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