Answer: y = - 60 x +150
Step-by-step explanation:
Here, the function which represents the distance between my friend and restaurant,
y = - 40x +100
Where, x is the number of hours since my friend left home.
Since, when he covered the whole distance y = 0
Then -40x +100 = 0
⇒ -40x = -100
⇒ x = 2.5
Thus, he is taking 2.5 hours to covered the whole distance.
And, According to question, me and my friend take the same time to covered the distance.
Thus, the time taken by me to covered 150 miles distance = 2.5 hours.
Therefore, my speed = 150/2.5 = 60 miles per hour.
Thus, in x hour the distance between me and restaurant,
y = 150 - 60x
Which is the required equation.
The linear equation that represents my distance from the restaurant is
y = 150 - 60x.
Given data:
The distance between the friends and restaurant is, y = -40x + 100
Here, x is the time function. ( number of hours since your friend left home)
Since, when he covered the whole distance y = 0.
Substituting the value in the equation as,
-40x +100 = 0
-40x = -100
x = 2.5
Thus, the friend is taking 2.5 hours to covered the whole distance.
Also time taken by each person is same. Which means the time taken by me to covered 150 miles distance = 2.5 hours.
Therefore, the speed is calculated as,
[tex]speed = \dfrac{distance}{time} \\\\speed = \dfrac{150}{2.5}\\\\speed = 60 \;\rm mi/hr[/tex]
Thus, in x hour the distance between me and restaurant is represented by the equation as,
y = 150 - 60x
This is the required equation.
Learn more about the linear equation here:
https://brainly.com/question/13911928
