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2 years ago

The values in the table represent a linear function. How does the value of y change in relation to a change in the value of x?

Mathematics

1 answer:

Verizon [17]2 years ago

7 0

if x is changed by 2 , the y changes by +3, Option B is the correct answer.

<h3>What is the equation of a Linear Function ?</h3>

The equation of a Linear Function is given by

y = mx +c

here m is the slope , c is the intercept on the y axis

The data is given in the table

To determine the relation , a function needs to be established between the variables.

m = ( y2 -y1 )/(x2-x1)

m = (-7 +10) /(-2+4)

m = 3 / 2

y = (3/2)x + c

at x = 0 , y= -4

-4 = 0 + c

c = -4

The function is

y = (3/2) x - 4

if x is changed by 2 , the y changes by +3

Therefore Option B is the correct answer.

To know more about Linear Function

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The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. A random sample of 51 househo

Vilka [71]

Answer:

0.007

Step-by-step explanation:

We were told in the above question that a random sample of 51 households is monitored for one year to determine aluminum usage

Step 1

We would have to find the sample standard deviation.

We use the formula = σ/√n

σ = 12.2 pounds

n = number of house holds = 51

= 12.2/√51

Sample Standard deviation = 1.7083417025.

Step 2

We find the z score for when the sample mean is more than 61

z-score formula is z = (x-μ)/σ

where:

x = raw score = 61 pounds

μ = the population mean = 56.8 pounds

σ = the sample standard deviation = 1.7083417025

z = (x-μ)/σ

z = (61 - 56.8)/ 1.7083417025

z = 2.45852

Finding the Probability using the z score table

P(z = 2.45852) = 0.99302

P(x>61) = 1 - P(z = 2.45852) = 0.0069755

≈ 0.007

Therefore,the probability that the sample mean will be more than 61 pounds is 0.007

6 0

3 years ago

Help!!

lesantik [10]

There are 11 outcomes for the two events happening one after another. Since the spinner has five outcomes and the number cube has six outcomes, you add the two outcomes together and get 11.

8 0

3 years ago

Suppose Tommy walks from his home at (0, 0) to the mall at (0, 7), and then walks to a movie theater at (5, 7). After leaving th

BaLLatris [955]

For this case, what we must do is find the distance between each ordered pair.
For this, we use the formula of distance between points.
We have then:
$d = \sqrt{(x2-x1)^2+(y2-y1)^2}$

For (0, 0) and (0, 7):
$d1=\sqrt{(0-0)^2+(7-0)^2}$
$d1=\sqrt{(0)^2+(7)^2}$
$d1=\sqrt{0+49}$
$d1=\sqrt{49}$
$d1=7$

For (0, 7) and (5, 7):
$d2=\sqrt{(5-0)^2+(7-7)^2}$
$d2=\sqrt{(5)^2+(0)^2}$
$d2=\sqrt{25+0}$
$d2=\sqrt{25}$
$d2=5$

For (5, 7) and (5, 0):
$d3=\sqrt{(5-5)^2+(7-0)^2}$
$d3=\sqrt{(0)^2+(7)^2}$
$d3=\sqrt{0+49}$
$d3=\sqrt{49}$
$d3=7$

before returning home the total distance is:
$d1 + d2 + d3 = 7 + 5 + 7

d1 + d2 + d3 = 19$

Answer:
before returning home Tommy walks about 19 blocks

5 0

3 years ago

-3 7/10 divided by 2 1/4<br><br> Please simplify the answer.

soldier1979 [14.2K]

-3.7 divided by 2.25 = about -1.64
Could I have a brainliest please? It would be greatly appreciated =D

6 0

3 years ago

A parabola can be represented by the equation x2 = 2y. What are the coordinates of the focus and the equation of the directrix?

SOVA2 [1]

The standard equation for a parabola that opens upward parallel to the y-axis is x2=4ay, where a = distance from the vertex to focus. Vertex is at origin(0,0)
4a=2
a=2/4
a=1/2 or 0.5
the coordinate of the focus is (0, 1/2)
the equation of the directrix is y=-1/2

5 0

3 years ago

Read 2 more answers