Jackson is starting an exercise program. initially, jackson is able to spend 30 minutes on a treadmill. he will increase his time on the treadmill by 2 minutes each day.

write an equation for t (d), the time, in minutes, on the treadmill on day d.

find t (6), the minutes he will spend on the treadmill on day 6.

Part a)

Part b)

Step-by-step explanation:

Part a) Write an equation for T (d)

Let

d ----> the number of days

T ---> the time in minutes of the treadmill

we know that

The linear equation in slope intercept form is equal to

where

m is the slope or unit rate

b is the y-intercept or initial value

In this problem we have

The slope or unit  rate is

The y-intercept or initial value is

substitute

Part b) Find T (6), the minutes he will spend on the treadmill on day 6

For d=6

substitute in the equation and solve for T