Mathematics, 06.10.2019 09:01 johnross17

Find the average rate of change from x = 3 to x = 15 for the function f(x) = 0.01(2)x and select the correct answer below.
a. 0.08
b. 12
c. 27.3
d. 327.68

Answers: 2

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Answers

Answer from: sswaqqin

Excuse me but his answer is incorrect. To find the proper rate of change you might have to solve it like you would for slope.
First you would find the points for x = 3 and x = 15 would be (3, 0.08) and (15, 327.68). Then using the slope formula you can find 327.60/ 12. That gives 27.3. So in that case the correct answer is C.

Answer from: kbuhvu

Option C is correct

27.3

Step-by-step explanation:

Average rate of change A(x) of f(x) over interval [a, b] is given by:

$A(x) = \frac{f(b)-f(a)}{b-a}$ .....[1]

As per the statement:

Given the function:

$f(x) = 0.001 \cdot 2^x$

At x = 3

then;

$f(3) = 0.001 \cdot 2^3 = 0.01 \cdot 8 = 0.08$

At x = 15

then;

$f(3) = 0.001 \cdot 2^15 = 0.01 \cdot 32768= 327.68$

Substitute these given values in [1] we have;l

$A(x) = \frac{f(15)-f(3)}{15-3} = \frac{3267.8-0.08}{12} =\frac{327.6}{12} = 27.3$

Therefore, the average rate of change from x = 3 to x = 15 is, 27.3

Answer from: Quest

step-by-step explanation:

i hate black

Answer from: Quest

see below

step-by-step explanation:

7. there are 10 data points in the set. the middle point is between 5 and 6. the middle point in the top half is 8 and the middle point in the bottom half is 3. to find the iqr , take point 8 and subtract point 3

mid term point 8 = 100 point 3 = 88

iqr = 100-88 = 12

final point 8 = 93 point 3 = 78

iqr = 93 - 78 = 15

the final has the greatest iqr

6. b - there is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical . there is an outlier for the males that skews the data

5. the iqr is a better measure of spread for the movies and basketball games. since the basketball game has an outlier, we do not want to use standard deviation for measurement.

3. the exam median is much higher than the class median. the median line is farther to the right on the exams

2. there is no way to tell what the means are from the box and whisker plots.

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Find the average rate of change from x = 3 to x = 15 for the function f(x) = 0.01(2)x and select the...