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Karo-lina-s [1.5K]

1 year ago

5

Which statement best explains if the graph correctly represents the proportional relationship y = 3.5x? A graph of a coordinate

plane is shown. Points are graphed at 1 and 3.5 and 2 and 7. The points are joined by a line. It does, the points shown on the line would be part of y = 3.5x. It does not, proportions cannot be represented on a graph. It does not, the points shown on the line would not be part of y = 3.5x. It does, all proportions can be shown on the graph of this line.

1 answer:

Evgesh-ka [11]1 year ago

7 0

Answer:

It does, the points shown on the line would be part of $y=3.5x$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem we have

$y=3.5x$

The slope is equal to $m=3.5$ ------> is a positive slope

The line passes through the origin

therefore

This linear equation represent a proportional variation

Verify the values of the points of the graph with the equation

For $x=1$

$y=3.5*1=3.5$ -----> is correct

For $x=2$

$y=3.5*2=7$ -----> is correct

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1 year ago

The table displays the frequency of scores for a calculus class on an exam. The mean of the exam scores is 3.5. Score 1 2 3 4 5

vladimir1956 [14]

Answer:

f=11

Mode=4

Median=4

Explanation:

We are given that

a.Mean of the exam score, $\bar x$ =3.5

Score(x) frequency C.F

1 1 1

2 3 4

3 f 15(4+f=4+11)

4 13 28

5 4 32

$\sum f_i=1+3+f+13+4=21+f$

$\sum f_ix_i=1(1)+2(3)+3(f)+4(13)+5(4)=1+6+3f+52+20=79+3f$

$(\bar x)=\frac{\sum f_ix_i}{\sum f_i}$

Using the formula

$3.5=\frac{79+3f}{21+f}$

$73.5+3.5f=79+3f$

$3.5f-3f=79-73.5$

$0.5f=5.5$

$f=\frac{5.5}{0.5}=11$

b.Mode:The number which is repeat most times .

4 repeat most times

Hence, mode of all exam scores=4

N=32

N is even

$Median=\frac{(\frac{n}{2})^{th}+(\frac{n}{2}+1)^{th}}{2}$

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1 year ago

Someone help and please make sure it’s right :)

Lorico [155]

Step-by-step explanation:

$(18x + 2) + (10x + 10) = 180$

by corresponding angle theorem

$10x + 18x + 2 + 10 = 180$

$28x + 12 = 180$

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$28x =1 68$

$x = \frac{168}{28}$

$x = 6$

have a nice day

4 0

10 months ago