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iogann1982 [59]
1 year ago
9

Look at the graph of the linear function. On a coordinate plane, a line goes through 4 points. Point A is (negative 2, negative

4), point B is (negative 1, negative 2), point C is (1, 2), and point D is (2, 4). The rate of change between point A and point B is 2. What is the rate of change between point C and point D? –2 Negative one-half One-half 2 Mark this and return
Mathematics
1 answer:
kondor19780726 [428]1 year ago
4 0

Using it's concept, the rate of change between point C and point D is of 2.

<h3>What is the average rate of change of a function?</h3>

The average rate of change of a function is given by the <u>change in the output divided by the change in the input</u>. Hence, over an interval [a,b], the rate is given as follows:

r = \frac{f(b) - f(a)}{b - a}

Considering the points of the given linear function, we have that:

  • Point C: f(1) = 2.
  • Point D: f(2) = 4.

Hence the rate of change between point C and point D is given by:

r = (4 - 2)/(2 - 1) = 2.

More can be learned about the average rate of change of a function at brainly.com/question/24313700

#SPJ1

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Mean = 75

Median = 73.5

Mode = 95

Range = 36

Step-by-step explanation:

Given:

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Sort:

  • 59,60,70,77,89,95

To find:

  • Mean
  • Median
  • Mode
  • Range

Mean:

\displaystyle \large{\dfrac{1}{n}\sum_{i =1}^n x_i = \dfrac{x_1+x_2+x_3+...+x_n}{n}}

Sum of all data divides by amount.

\displaystyle \large{\dfrac{59+60+70+77+89+95}{6}=\dfrac{450}{6}}\\\\\displaystyle \large{\therefore mean=75}

Therefore, mean = 75

Median:

If it’s exact middle then that’s the median. However, if two data or values happen to be in <em>middle</em>:

\displaystyle \large{\dfrac{x_1+x_2}{2}}

From 59,60,70,77,89,95, since 70 and 77 are in middle:

\displaystyle \large{\dfrac{70+77}{2} = \dfrac{147}{2}}\\\displaystyle \large{\therefore median = 73.5}

Therefore, median = 73.5

Mode:

The highest value or/and the highest amount of data. Mode can have more than one.

From sorted data, there are no repetitive data nor same data. Consider the highest value:

Therefore, mode = 95

Range:

\displaystyle \large{x_{max}-x_{min}} or highest value - lowest value

Thus:

\displaystyle \large{95-59 = 36}

Therefore, range = 36

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