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Snezhnost [94]
3 years ago
15

The graph below shows the height through which an elevator travels, y, in x seconds: A graph is shown with x axis title as Time

in seconds. The title on the y-axis is Height of Elevator Above Ground in feet. The values on the x-axis are from 0 to 5 in increments of 1 for each grid line. The values on the y-axis are from 0 to 50 in increments of 10 for each grid line. A line is shown connecting points at ordered pairs 1,10 and 2, 20 and 3, 30 and 4, 40. The title of the graph is Rate of Ascent. What is the rate of change for the relationship represented in the graph?
fraction 1 over 40

fraction 1 over 10

10

40

Mathematics
2 answers:
Brilliant_brown [7]3 years ago
8 0

Answer:

the answer is 10 or letter C

Step-by-step explanation:

Blababa [14]3 years ago
5 0

Answer:

C. 10

Step-by-step explanation:

We are given a graph representing the height of the elevator with respect to time.

Since, we know that,

X-axis represents the 'time' in seconds and y-axis represents the 'height of the elevator' in feet.

As, the coordinate points on the graph are given by,

(1,10), (2,20), (3,30) and (4,40).

So, the rate of change can be found out by solving, \frac{20-10}{2-1}=10.

Hence, the rate of change of the relationship is 10.

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shepuryov [24]

Answer:

x = \log_{10}(y - 8), where y > 8.

Step-by-step explanation:

The question is asking for an expression for x in terms of y.

The first step is to move as many constants away from the side with x as possible. In this question, that could be done by subtracting 8 from both sides of the equation.

y - 8 = 10^{x} + 8 - 8.

y - 8 = 10^{x}.

Notice how x is in the position of an exponent. Logarithms could help move x out of that position.

For any base b > 0:

\log_{b} b^{x} = x\, \log_{b}\, b = x.

In this question, 10 would be the base. That is: b = 10.

Take the logarithm (with 10 as the base) of both sides of the equation y - 8 = 10^{x}:

  • Left-hand side: \log_{10} (y - 8).
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Equate both sides to find an expression for x:

x = \log_{10}(y - 8).

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2 years ago
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Midpoint

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Step-by-step explanation:

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