The values in the table represent Function B, which is linear Function L is represented by the equation y=6x+4. What is rate of
change for function l ?. what is the rate of change for function ?. which one has the greater rate of change?.
2 answers:
Please, find attached the picture with the table of teh function B corresponding to the question.
Answer:
- <em><u>The rate of change of function B: 3</u></em>
- <em><u>The rate of change of function L: 6</u></em>
- <em><u>The rate of change of the function L is greater</u></em>
Explanation:
<u>1. Rate of change of function B</u>
The <em>rate of change</em> can be determined with any two ordered pairs using the formula:
- rate of change = rise / run = Δy / Δx
Let's use the points (1,5) and (3,11):
- rate of change = (11 - 5) / (3 - 1) = 6 / 2 = 3
Hence the rate of change is 3.
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<u>2. Rate of change of function L</u>
The rate of change of a linear function, which y = 6x + 4 is, is the slope of the line.
You may recognize the slope, when the function is represented with the slope-intercetp form.
The slope-intercept form has the general equation y = mx + b, where m is the slope and b is the y-intercept.
Hence, by comparison, the slope of the function y = 6x + 4 is m = 6.
In conclusion, the rate of change of the function L is 6.
Therefore, since 6 > 3, the rate of change of the function L is greater than the rate of change of the function B.
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