Mathematics: The table below represents the distance of an airplane from its destination as a function of time: time (hours) x distance (miles) y 0 2700 1 2160 2 1620 3 1080 4 540 part a: what is the y-intercept of the function, and what does this tell you about the airplane? (4 points) part b: calculate the average rate of change of the function represented by the table between x = 1 to x = 4 hours, and tell what the the average rate represents. (4 points) part c: what would be the domain of the function if

The table below represents the distance of an

Ответ:

esanchez2002fcb

14.01.2022

$\bf \begin{array}{ccllll}
hours&miles\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
0&2700\\
1&2160\\
2&1620\\
3&1080\\
4&540
\end{array}$

a)

at 0hours, the plane is 2700miles away from its destination, so the plane is on a city which is 2700miles from its destination and the pilots are sipping coffee

b)

$\bf slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby 
\begin{array}{llll}
average\ rate\\
of\ change
\end{array}\\\\
-------------------------------\\\\$

$\bf \begin{array}{ccllll}
hours[x]&miles[f(x)]\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
0&2700\\
\boxed{1}&\boxed{2160}\\
2&1620\\
3&1080\\
\boxed{4}&\boxed{540}
\end{array} \qquad
\begin{array}{llll}
 
\begin{cases}
x_1=1\\
x_2=4
\end{cases}\implies \cfrac{f(4)-f(1)}{4-1}\\\\\\
\cfrac{2160-540}{4-1}
\end{array}$

c)

well, notice from b), the distance is dropping a constant value, 1 more hour, and the plane is at its destination, so the domain will be from [0, 5]

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Ответ:

alexialoredo625

13.07.2021

Mathematics

y=2x+1 is a line

so (2x+1) *4= 8x+4

Please rate positively, give brainlist and drop a follow for future help!

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