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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.

Respuesta :

calculista

Answer:

Part a) [tex]T(d)=2d+30[/tex]

Part b) [tex]T(6)=42\ minutes[/tex]

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

[tex]T=md+b[/tex]

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

[tex]m=2\ \frac{minutes}{day}[/tex]

The y-intercept or initial value is

[tex]b=30\ minutes[/tex]

substitute

[tex]T(d)=2d+30[/tex]

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

[tex]T(6)=2(6)+30[/tex]

[tex]T(6)=42\ minutes[/tex]

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