Answer:
y = - 400 + 700x
Step-by-step explanation:
Nour's altitude increased at a constant rate from the Dead Sea up to Amman.
Initially, her altitude was 400 meters below from the sea level and then she arrived at an altitude was 1000 meters above sea level arrived to Amman, 2 hours later.
So, she moves (400 + 1000) = 1400 meters in 2 hours.
Therefore, her rate of change of altitude is
meters per hour.
Therefore, if y represents Nour's altitude in meters relative to the sea level after x hours then the relationship between the altitude and number of hours is given by
y = - 400 + 700x (Answer)
Answer:
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Step-by-step explanation:
Option A
-x + 6y = 42 is the standard form
<u>Solution:</u>
Given that we have to write
in standard form
The standard form of an equation is Ax + By = C
In this kind of equation, x and y are variables and A, B, and C are integers
Given equation is:
![y = \frac{1}{6}x+7](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B1%7D%7B6%7Dx%2B7)
Let us convert the above equation into standard form
![y = \frac{x}{6} + 7](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7Bx%7D%7B6%7D%20%2B%207)
![y = \frac{x}{6} + \frac{7}{1}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7Bx%7D%7B6%7D%20%2B%20%5Cfrac%7B7%7D%7B1%7D)
Make the denominator same in R.H.S
![y = \frac{x}{6} + \frac{7 \times 6}{1 \times 7}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7Bx%7D%7B6%7D%20%2B%20%5Cfrac%7B7%20%5Ctimes%206%7D%7B1%20%5Ctimes%207%7D)
Solve the above equation
![y = \frac{x}{6} + \frac{42}{6}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7Bx%7D%7B6%7D%20%2B%20%5Cfrac%7B42%7D%7B6%7D)
![y = \frac{x+42}{6}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7Bx%2B42%7D%7B6%7D)
Move 6 from R.H.S to L.H.S
![6y = x + 42](https://tex.z-dn.net/?f=6y%20%3D%20x%20%2B%2042)
Bring all the terms to one side, leaving only constant on R.H.S
![-x + 6y = 42](https://tex.z-dn.net/?f=-x%20%2B%206y%20%3D%2042)
The above equation is of form Ax + By = C
Thus option A is correct