Answer:
Part a) ![T(d)=2d+30](https://tex.z-dn.net/?f=T%28d%29%3D2d%2B30)
Part b) ![T(6)=42\ minutes](https://tex.z-dn.net/?f=T%286%29%3D42%5C%20minutes)
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
![T=md+b](https://tex.z-dn.net/?f=T%3Dmd%2Bb)
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\ \frac{minutes}{day}](https://tex.z-dn.net/?f=m%3D2%5C%20%5Cfrac%7Bminutes%7D%7Bday%7D)
The y-intercept or initial value is
![b=30\ minutes](https://tex.z-dn.net/?f=b%3D30%5C%20minutes)
substitute
![T(d)=2d+30](https://tex.z-dn.net/?f=T%28d%29%3D2d%2B30)
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](https://tex.z-dn.net/?f=T%286%29%3D2%286%29%2B30)
![T(6)=42\ minutes](https://tex.z-dn.net/?f=T%286%29%3D42%5C%20minutes)
Answer:
8.5
Step-by-step explanation:
38.25/4.5
Answer:
(13+x)cm
Step-by-step explanation:
Given data
Length of sides
1cm, 5cm, 7cm
Since the shape is four-sided and the fourth side is not given, let the fourth side be x
so
The perimeter of the polygon is
P= 1+5+7+x
P= 13+x
Hence the perimeter of the polygon is
P= (13+x)cm