The equation used above is y-intercept form.
ex. y = mx + b
Whatever is in front of the x is your slope.
Your slope is -3
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.
The correct answer is Choice A.
This is an example of an exponential equation, so we need the formula

.
The a value is the starting value of 100. The b value must be a decimal lower than 1 because it is decreases.
If you substitute in 8 for x, you will see that the output is about 50 (half of 100).
The length, width, and area will be 25m, 15m, and 375m².
<h3>How to calculate the area?</h3>
From the information given, the scale in the drawing is 2cm : 5m and the length and width are given as 10cm and 6cm respectively.
Length = 10cm = 10 × 2.5 = 25m
Width = 6cm = 6 × 2.5m = 15m
Area = Length × Width
Area = 25 × 15
Area = 375m²
Therefore, the area is 375m².
Learn more about area on:
brainly.com/question/25292087
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First u have to find the square root for the number and then answer all of the root question then u have to find the angels