1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nadusha1986 [10]
3 years ago
13

Use average rates of change to determine if the function in the table is Linear or Non-linear.

Mathematics
1 answer:
nevsk [136]3 years ago
3 0

We have been given a table of values of a function. We are asked to determine whether the given function is linear or nonlinear.

We know that a function is linear when its rate of change (slope) is constant.

Let us find slope for each of the given points using slope formula.

m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{-3-0}{4-1}=\frac{-3}{3}=-1

Similarly, we will find the slopes using other given coordinates.  

m=\frac{-6-(-3)}{7-4}=\frac{-6+3}{3}=\frac{-3}{3}=-1

m=\frac{-9-(-6)}{10-7}=\frac{-9+6}{3}=\frac{-3}{3}=-1

Since the rate of change for each set of points is -1, so the rate of change is constant.

Therefore, the given function is linear.

You might be interested in
What is the vertex of the parabola given by = -(x-2)^2-1?
weqwewe [10]
Rewrite the parabola in standard form and use this formula to find the vertex (h,k).
= (2,-1)

3 0
3 years ago
The price of a gallon of unleaded gas was $2.83 yesterday. Today, the price fell to $2.78 . Find the percentage decrease. Round
avanturin [10]
2.105% is the answer!
8 0
3 years ago
Which of the following shows the graph of the eniquality y&gt;x+3<br><br> PLEASE include image
7nadin3 [17]

in plain and short, to graph an inequality, we first graph its EQUALITY graph, and then we do the shading.

so to graph y > x + 3, we first graph y = x + 3, which is just a line, and then do a true/false check on a point to see which side we shade.

let's hmmm  check the point say (0,2), x = 0, y = 2.

y > x + 3

2 > 0 + 3

2 > 3  <--- is that true?  is 2 really larger than 3?  nope, so is false.

that simply means that the point (0, 2)  is on the false area, so that's the area we do NOT shade, so <u>we shade the other side</u>.

y > x + 3, means "y" is greater than or larger than that line, but not equals, larger not equal, meaning the values on the borderline are not included, so the line is a dashed line.


check the picture below.

5 0
3 years ago
Write the prime factorization of using exponents.
kozerog [31]

Answer:  26∗34 2 6 ∗ 3 4

Step-by-step explanation:

3 0
3 years ago
Help Plzz<br>Which section of the function is increasing? <br>ОА <br>ОВ <br>ОС <br>OD​
Rama09 [41]

Answer: A

Step-by-step explanation:

because i nsaid sooooo

3 0
2 years ago
Other questions:
  • Please help me<br> 2/3÷(−5/6)
    8·2 answers
  • Which ordered pair represents the yintercept of the graph of the equation
    15·2 answers
  • Is three fourths greater than nine tenths ?
    7·2 answers
  • Jeff Bought 48 sports cards at the yard sale of the cards, 3/8 were baseball cards how many cards were the baseball cards
    14·2 answers
  • Image should be below
    8·1 answer
  • What value of x is in the solution set of 9(2x + 1) &lt; 9x - 18? <br> -4<br> -3<br> -2<br> -1
    7·2 answers
  • Arrange the following numbers in ascending order:<br> 34 566, 356 333, 3657, 305 760
    11·2 answers
  • Write a function equation that represents a line that contains the two points (-3, 5) and (2, 10).
    9·1 answer
  • Which equation represents "the product of a number and 24 is 72"?
    7·2 answers
  • 20 is less than the difference of 5 and twice x.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!