Jackson is starting an exercise program. The first day he will spend 30 minutes on the treadmill. He will increase his time on the treadmill by two minutes each day. But in equation for T (d), the time, in minutes, on the treadmill on day. Find T (6), the minutes he will spend on the treadmill on day 6

40 minutes.

Step-by-step explanation:

time spent on the thread mill as a function of d (day) = t (d)

= 30 + 2 (d-1) minutes

[where d represents day number]

(when d is 1 the time spent should be 30

so substitute d=1 and check it will be 30 only.

on first day he will spend 30 minutes so, I added 30.

and on every additional day (these additional days are excluding first day), he will increase the time by 2 minutes. so, I added 2 (d-1) to initial 30 minutes)

so, T (6), the minutes he will spend on the treadmill on day 6=

=30+2 (6-1)

=30+2 (5)

=30+10

=40 minutes