MATHEMATICS MIDDLE SCHOOL

The following table shows the values of y for different values of x:x y

0 -5

1 0

2 5

Which statement best explains whether the table represents a linear function or a nonlinear function?

It represents a linear function because it's points are on a straight line

It represents a linear function because it's points are not on a straight line

It represents a nonlinear function because its points are on a straight line

It represents a nonlinear function because it's points are not on as straight line.

Answers

Answer 1

Answer:

Answer:

Option 1 - It represents a linear function because it's points are on a straight line

Step-by-step explanation:

Given : The following table shows the values of y for different values of x :

x y

0 -5

1 0

2 5

To find : Which statement best explains whether the table represents a linear function or a nonlinear function?

Solution :

For a linear equation the slopes of the line between any two pairs of these is the same.

For a non-linear equation the slopes of the line between any two pairs of these is different.

First we find the slope,

Slope is $m=(x_2-x_1)/(y_2-y_1)$

Points are (0,-5) and (1,0) substitute in m.

$m=(1-0)/(0-(-5))$

$m=(1)/(5)$

Points are (1,0) and (2,5) substitute in m.

$m=(2-1)/(5-0)$

$m=(1)/(5)$

Points are (2,5) and (0,-5) substitute in m.

$m=(0-2)/(-5-5)$

$m=(-2)/(-10)$

$m=(1)/(5)$

The slopes are same, so it is a linear function.

The points are also in a straight line as shown in figure attached below.

Therefore, Option 1 is correct.

It represents a linear function because it's points are on a straight line

Answer 2

Answer: A. It represents a linear function because it's points are on a straight line the equation is y=5x-5

Related Questions

a bottle contains 3.5liter of water. A second bottle contains 3,750 millimeters of water .how many more millimeters are in. the larger bottle than in the smaller bottle
Suppose Monica Walks 1 kilometer every 15 minutes. How many meters further can she walk in 1 hour at this new rate? EXPLAIN how you found your answer
What is 24 cups equal to in gallons
The formula for the perimeter of a rectangle is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width. Solve for w.
WILL AWARD BRAINLIEST If the least value the variable k can be is 12, which of the following inequalities best shows all the possible values of k? (3 points) k < 12 k > 12 k ≤ 12 k ≥ 12

the price of milk in 2013 was around $3.28 a gallon. This was eight times as much as you would have probably paid for a gallon of milk in the 1950s. Whatwas the cost for a gallon of milk during the 1950s? show your calculations.

Answers

The cost of the milk is $\fbox{\$\,0.41{\text{ a gallon}}}$ in 1950s.

Further explanation:

The price of milk in 2013 was around $\$3.28$ a gallon.

And it is given that this was eight times as much as one can would have probably paid for a gallon of milk in the 1950s.

It is given that the price of milk in 2013 is $\$3.28$ a gallon.

Assume the price of milk in 1950 be $\$x$ a gallon.

Now, given that 8 times of $x$ is the price of milk in 2013.

Therefore, $8x$ is the price of milk in 2013 and also $\$3.28$ is the price of milk in 2013.

Equating $8x$ and $\$3.28$ equal as both are the price of milk in 2013 as,

$\begin{aligned}8x&=3.28\nx&=\frac{{3.28}}{8}\nx&=0.41\n\end{aligned}$

Here, x is the price of milk in 1950.

Therefore, the cost of the milk is $\fbox{\$\,0.41{\text{ a gallon}}}$ in 1950s.

Learn more:

1. Problem on the slope-intercept form brainly.com/question/1473992.

2. Problem on the center and radius of an equation brainly.com/question/9510228

3. Problem on general form of the equation of the circlebrainly.com/question/1506955

Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Linear equations in one variable

Keywords: Cost, gallon, milk, linear equation in one variable, polynomials, variables, real numbers, degree of polynomials, equations, expressions, coefficients, zero polynomial, constants, integers, roots of polynomials.

the price of the milk in the 1950s = x
8x =3.28
x = 3.28/8 =0.41$
so the price of the milk was 0.41$ a gallon

3. 5x - y = 4
2x + 2y = 16

Answers

Answer:x=2.67, y =5.35

Step-by-step explanation:

Marcy drew the following triangles to show that LMN PQR.Does Marcy's drawing indicate that LMN PQR?

Answers

It would be b. If you can see, the triangle is flipped and each side that has || on it are different from eachother

Write 15 cookies to 40 brownies as a ratio in simplest form.

Answers

The equation for this question to reach the ratio in its simplest form would be 15:40 15 divided by 5 = 340 divided by 5 = 8, 3 : 8

if we write the ratio 15 cookies to 40 cookies we will get the following ratio

15:40

to write in simplest form we have to find the highest common factor for both 15 and 40

the factors for both 15 and 40 are as follows

15 - 1,3,5,15

40 - 1,2,4,5,8,10,20,40

the highest common factor is 5

so we have to divide both ny 5 to get the simplest form

$(15)/(5):(40)/(5) = 3:8$

ratio in the simplest form is 3:8

HELPJames will draw a rectangle with an area of 25 square inches. Which set of measurements can James use?

A.length =5 1/2
width =5 in.
B. Length= 5 3/4 width 4 3/4 in.
C. Length 12 1/2
Width = 2 in.
D. Length 12 1/2
Width 12 1/2 inches

Then figure out the perimeter of the rectangle you selected

Answers

The answer for your question is A. The reason why it's a is because the are for the rectangle is 25. So your answer has to be 25. So for A the length is 5 1/2 so divide 1/2 you will get 0.5 then multiply 0.5 to 5 that will give you 25. The for Width it's the same thing so you divide 25 into 5 you will get 5 and multiply 5 times that will give you 25.

Hope this helps:)

Turn 8 21/40 into a decimal

Answers

TO get the decimal 8 is obviously 8.0 and for 21/40 just divide 40 for both the numerator and denominator. Then add the 8.0 with the answer you get for 40 together to get the final answer.

821 divide 40 is 20.53 and i got that answer by first i divide the numerator 821 by the denoinator 40 so that how i got it

Other Questions

Simplify the expression -4.4+(-5.6) . On the test, when simplified the expression she got 1.2. What mistake did likely make when simplified the expression?

Is a voluntary response sample (sometimes, always, or never) valid?

What is a diagram used to show the total number of possible outcomes in a probability experiment

The table shows Janisa’s scores in an archery tournament qualifying event.A 1-column table with 6 rows. Column 1 is labeled Janisa's Scores with entries 10, 10, 8, 8, 3, question mark.Janisa needs a mean score of 8 to qualify for the archery tournament. How many points does she need on her last arrow to qualify for the tournament?Janisa needs total points to have a mean score of 8.Janisa has points so far.Janisa needs to score points on her last arrow to qualify for the tournament.