The rate of change of the plane's altitude is 2250 feet per minute.
<h3>How to calculate the rate?</h3>
The rate of change of the plane's altitude will be:
= (35000 - 17000)/8
= 18000/8
= 2250 feet per minute.
When graphing the descent of the plane, the starting value for its altitude be 35000 feet.
The linear function will be:
y = mx + b
35000 = 2250x + b
35000 = 2250(0) + b
b = 35000
y = -2250x + 35000
The information given in this problem that did not need to write an equation for the descent is the initial details about how long that the plane travelled.
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Answer: 15 gallons
Step-by-step explanation:
There is 100% in any full thing. When the water tank was full, it had 20 gallons. After 25% of the water was removed, there is 75% left (100% - 25% = 75%). 75% can also equal 0.75. 20 × 0.75 = 15 gallons.
Answer:
D. (3. —1)
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
It's vertex is the point 
In which
Where
If a<0, the vertex is a maximum point, that is, the maximum value happens at 
, and it's value is 
.
Turning point of a quadratic function:
The turning point of a quadratic function is the vertex.
y = x2 — 6x + 8
This means that 
Now, we find the vertex.
(x,y) = (3,-1), and the correct answer is given by option D.
Find the rate of change, (y2-y1)/(x2-x1), from the data given...
(2.16-1.26)/(12-7)=0.18
(1.26-0.72)/(7-4)=0.18
Since the rate is constant, this is a linear equation of the form y=mx+b. Furthermore, since 0 pencils cost 0, b=0, so the cost of the pencils is simply the number of pencils times 18 cents...
c(p)=0.18p (cost with respect to pencils is 0.18 times the number of pencils)
