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Paraphin [41]
3 years ago
9

The table below represents the number of math problems Jana completed as a function of the number of minutes since she began doi

ng her homework. Does this situation represent a linear or non-linear function, and why?
minutes math problems completed
__________________________________________
1 -3
2 -7
3 -12
4 -16
5 -19
Mathematics
2 answers:
Sonbull [250]3 years ago
5 0
It's a nonlinear because the x and y values are not increasing at the same ratio each time. This would be an example of a linear function:
x l 1 2 3  4   5   6
y l 3 6 9 12 15 18

As x increases by 1, y increases by a multiple of 3
katrin2010 [14]3 years ago
3 0

Answer:

Given function is not a linear function as rate of change varies for different pairs of points.

Step-by-step explanation:

We are given the table,

x               f(x)

1                 -3

2                -7

3                -12

4                -16

5                -19

To check whether the given function is linear, we will check the rate of change at different points.

As, the rate of change of (x_{1},y_{1}) and (x_{2},y_{2}) is given by, \frac{y_{2}-y_{1}}{x_{2}-x_{1}}.

So, we get,

\frac{7-3}{2-1} = 4

\frac{12-7}{3-2} = 5

\frac{16-12}{4-3} = 4

\frac{19-16}{5-4} = 3

<em>Since, the slope or the rate of change is not constant for different pairs of points.</em>

Thus, the given function is not a linear function.

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Answer:

m= 9

Step-by-step explanation:

63/7

7 0
2 years ago
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Dmitrij [34]
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6 0
3 years ago
Peyton is collecting data on the lunch habits of students at Hyattsville Middle School. In one class, 14 students bring lunch fr
mart [117]

Answer:

Answer: Around 1000 students would buy a school lunch.

Step-by-step explanation:

We know that in one class, 14 students bring lunch from home, and 20 buy lunch in the school. This will be our sample.

In total we have 20 + 14 = 34 students, this will be our 100%.

The percentage of students that bring lunch from home can be estimated as the quotient between the number of students that bring lunch from home and the total number of students, times 100%.

p1 = (14/34)*100% = 41.18%

And the percentage of students that buy lunch at school can be computed in the same way:

p2= (20/34)*100% = 58.82%

Then, out of the 1700 students in middle school, we can estimate that around 58.82% of them will buy lunch in the school.

Then the exact number will be:

N = (58.82%/100%)*1700 = 1000

Around 1000 students would buy a school lunch.

7 0
2 years ago
Suppose that you are asked if there would be a strong or weak correlation between the number of people shopping in malls and the
solong [7]

There could be a strong correlation between the proximity of the holiday season and the number of people who buy in the shopping centers.

It is known that when there are vacations people tend to frequent shopping centers more often than when they are busy with work or school.

Therefore, the proximity in the holiday season is related to the increase in the number of people who buy in the shopping centers.

This means that there is a strong correlation between both variables, since when one increases the other also does. This type of correlation is called positive. When, on the contrary, the increase of one variable causes the decrease of another variable, it is said that there is a negative correlation.

There are several coefficients that measure the degree of correlation (strong or weak), adapted to the nature of the data. The best known is the 'r' coefficient of Pearson correlation

A correlation is strong when the change in a variable x produces a significant change in a variable 'y'. In this case, the correlation coefficient r approaches | 1 |.

When the correlation between two variables is weak, the change of one causes a very slight and difficult to perceive change in the other variable. In this case, the correlation coefficient approaches zero

6 0
3 years ago
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