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Paraphin [41]
2 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]2 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]2 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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Jaden and his family are using a map to drive down to Napa Valley. On the map, the distance is given by the equation c = 1.3m, w
Zinaida [17]
The answer for this would be 23.4.
This is because 1.3 = 1 mile. Therefore you should do 1.3 x 18
which equals 23.4!
4 0
2 years ago
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The enrollment in college a may be modeled by y = 0.051x + 0.470, and the enrollment in college b may be modeled by y = –0.041x
sasho [114]
The first equation represents the enrollments of college A
The second equation represents the enrollments of college B
if you let two equation equal to each other, you can understand them as the enrollments of college A and college B at "x" year.

0.051x + 0.470 = -0.041x + 1.850
0.051x + 0.041x = 1.850 - 0.470
0.092x = 1.38
x = 1.38/0.092 = 15 years from 1990, 1990 + 15 = 2005 
both equations represents the enrollments, but for specific the year of 2005, they have the same enrollments. You can either plug 2005 in the first or second equation, the answer will come out the same.
y = 0.051(2005) + 0.470 = 102.745 thousands of enrollments. It's awkward to say it this way, you can multiply 102.745 by 1000.
==> 102.725 * 1000 = 102725 enrollements 
===================================================================
The year of 2005 college A and college B both have the same enrollments of 102725.  

5 0
2 years ago
choose the equivalent system of linear equations that will produce the same solution as the one given below. 4x − 2y = 6 2x y =
Julli [10]
<span>4x − 2y = 6 . . . . . (1)
2x + y = 5 . . . . . (2)

(2) x 2 => 4x + 2y = 10 . . . . . (3)

(1) - (3) gives: -4y = -4
y = -4/-4 = 1

From (2), 2x + 1 = 5 => 2x = 5 -1 = 4
x = 4/2 = 2

Solution is (2, 1)

Substituting the solution into the options gives that
</span><span>−4x − 2y = 10
−4y = 4 −4x
has the same solution.
</span>
7 0
2 years ago
Read 2 more answers
1) Consider the sequence:
Ivan

Answer:

1) The 38th term is A. 38

2) The 11th term is D. 3072

3) The 3rd term is C. 34

Step-by-step explanation:

1) I added 2 until I got to the 38th term.

2) I multiplied until I got to the 11th term.

3) I added 3 until i got to the 12th term.

The teacher showed a more complex way to do it but this is just what I did.

I took the quiz, so I know that I got them all correct.

5 0
2 years ago
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Which of the following accurately lists all of the discontinuities for the graph below?
Murljashka [212]

Answer:

jump discontinuity at x = 0; point discontinuities at x = –2 and x = 8

Step-by-step explanation:

From the graph we can see that there is a whole in the graph at x=-2.

This is referred to as a point discontinuity.

Similarly, there is point discontinuity at x=8.

We can see that both one sided limits at these points are equal but the function is not defined at these points.

At x=0, there is a jump discontinuity. Both one-sided limits exist but are not equal.

3 0
2 years ago
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