Mathematics, 04.12.2019 20:31 NobleWho

Which table represents a linear function?

Answers: 1

Show answers

Answers

Answer from: thibeauxkristy

As the tables are not attached, the attachment is given below:

Only table 3 represents the linear function.

Step-by-step explanation:

The linear equation with slope 'm' and intercept 'c' is given as:

y = mx + c

The slope of a line with points $\left( {{x_1},{y_1}} \right) and \left( {{x_2},{y_2}} \right)$ is given as:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Table 1:

The slope is calculated as below:

$\begin{aligned}m&=\frac{{ - 6 + 2}}{{2 - 1}}\\&=\frac{{ - 4}}{1}\\&= - 4\\\end{aligned}$

The slope of other two points can be obtained as follows,

$\begin{aligned}m&= \frac{{ - 2 + 6}}{{3 - 2}}\\&= \frac{4}{1}\\&=4\\\end{aligned}$

The slopes are not equal. Therefore, table 1 is not correct.

Table 2:

The slope is calculated as below:

$\begin{aligned}m&= \frac{{ - 5 + 2}}{{2 - 1}}\\&=\frac{{ - 3}}{1}\\&= - 3\\\end{aligned}$

The slope of other two points can be obtained as follows,

$\begin{aligned}m&=\frac{{ - 9 + 5}}{{3 - 2}}\\&= \frac{{ - 4}}{1}\\&= - 4\\\end{aligned}$

The slopes are not equal. Therefore, table 2 is not correct.

Table 3:

The slope is calculated as below:

$\begin{aligned}m&= \frac{{ - 10 + 2}}{{2 - 1}}\\&= \frac{{ - 8}}{1}\\&= - 8\\\end{aligned}$

The slope of other two points can be obtained as follows,

$\begin{aligned}m&= \frac{{ - 18 + 10}}{{3 - 2}}\\&= \frac{{ - 8}}{1}\\&= - 8\\\end{aligned}$

The slopes are equal. Therefore, table 3 is correct.

Table 4:

The slope is calculated as below:

$\begin{aligned}m&= \frac{{ - 4 + 2}}{{2 - 1}}\\&=\frac{{ - 2}}{1}\\&= - 2\\\end{aligned}$

The slope of other two points can be obtained as follows,

$\begin{aligned}m&=\frac{{ - 8 + 4}}{{3 - 2}}\\&= \frac{{ - 4}}{1}\\&= - 4\\\end{aligned}$

The slopes are not equal. Therefore, table 4 is not correct.

Therefore, only table 3 represents the linear function.

Which table represents a linear function?

Answer from: Quest

1 3 5

step-by-step explanation:

i took the test: )

Answer from: Quest

the results from a pre-test for students for the year 2000 and the year 2010 are illustrated in the box plot. what do these results tell us about how students performed on the 29 question pre-test for the two years?

if we compare only the lowest and highest scores between the two years, we might conclude that the students in 2010 did better than the students in 2010. this conclusion seems to follow since the lowest score of 8 in 2010 is greater in value than the lowest score of 6 in 2000. also, the highest score of 28 in 2010 is greater in value than the highest score of 27 in 2000.

but the box portion of the illustration gives us more detailed information. the middle bar in each box shows us that the median score of 20 in 2000 is greater in value than the median score of 17 in 2010. further, we note that the box and whiskers divide the illustration into four pieces. each of these four pieces represents the same portion of students. so, the upper half of the students in 2000 scored in the same score range as the upper one-fourth of the students in 2010, see the illustration at a score of 20.

by considering the upper one-fourth, upper half, and upper three-fourths instead of just the lowest and highest scores, we would conclude that the students as a whole did much better in 2000 than in 2010. we would conclude that as a whole the students in 2010 are less prepared than the students in 2000.

in this section, we discuss box-and-whisker plots and the five key values used in constructing a box-and-whisker plot. the key values are called a five-number summary, which consists of the minimum, first quartile, median, third quartile, and maximum.

step-by-step explanation:

Another question on Mathematics

Mathematics, 21.06.2019 16:20

The number of nails of a given length is normally distributed with a mean length of 5.00 in, and a standard deviation of 0.03 in. find the number of nails in a bag of 120 that are less than 4.94 in. long.

Answers: 3

Answer

Mathematics, 21.06.2019 19:00

The probability that you roll a two on a six-sided die is 1 6 16 . if you roll the die 60 times, how many twos can you expect to roll

Answers: 1

Answer

Mathematics, 21.06.2019 19:30

Which of the following is the explicit rule for a geometric sequence defined a recursive formula of a -5a for which the first term is 23?

Answers: 1

Answer

Mathematics, 21.06.2019 22:50

He graph of f(x) = |x| is stretched by a factor of 0.3 and translated down 4 units. which statement about the domain and range of each function is correct? the range of the transformed function and the parent function are both all real numbers greater than or equal to 4. the domain of the transformed function is all real numbers and is, therefore, different from that of the parent function. the range of the transformed function is all real numbers greater than or equal to 0 and is, therefore, different from that of the parent function. the domain of the transformed function and the parent function are both all real numbers.