What transformations are used to get G’ , H’ , I’.
2 answers:
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Answer: y = 3.5 x+ 43.8
Step-by-step explanation:
Here x represents the number of years after 1990
Thus, we get the table that is used to find the equation will be,
x 0 2 4 6 8
y 45 51 57 61 75
Let the equation that shows the above data,
y = b + a x ---------(1)
By the above table,
By substituting these values in the above value of a and b,
We get b = 43.8 and a = 3.5
Substitute this value in equation (1)
we get, the equation that shows the given data is,
y = 3.5 x + 43.8
⇒ Option (3) is correct.
Given:
The function that represents how the amount of fuel changes as a function of distance flown is
where x represents miles flown, and f(x) represents the amount of fuel remaining.
To find:
The rate of change for this scenario.
Solution:
The slope intercept form of a linear function is
...(i)
Where, m is the slope or rate of change and b is the y-intercept.
We have,
...(ii)
On comparing (i) and (ii), we get
Therefore, the rate of change for this scenario is -0.9. It means, the amount of fuel in the airplane is decreasing by 0.9 gallons per mile.