Question

Pls help I don't understand:

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.

Answer 1

Part a)
`T(d)=2d+30`

Part b)
`T(6)=42\ minutes`

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

`T=md+b`

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

`m=2\ (minutes)/(day)`

The y-intercept or initial value is

`b=30\ minutes`

substitute

`T(d)=2d+30`

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

`T(6)=2(6)+30`

`T(6)=42\ minutes`