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
julia-pushkina [17]
3 years ago
9

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

Mathematics
1 answer:
Marta_Voda [28]3 years ago
7 0

Answer: A.) It is a linear function because there is a constant rate of change in both the input and output values.

============================================================

Explanation:

Note how x is decreasing by 3 each time

  • -2-3 = -5
  • -5-3 = -8
  • -8-3 = -11

At the same time, y is also decreasing by 3 each time

  • 7-3 = 4
  • 4-3 = 1
  • 1-3 = -2

This means we have a linear function. We have,

slope = (change in y)/(change in x)

slope = (-3)/(-3)

slope = 1

Recall that slope is another term for rate of change, so a constant slope means we have a constant rate of change.

----------------

Another way to find the slope is to pick any two points from the table and use the slope formula

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

You should find that any two points you pick will lead to a slope of 1. I recommend you try out all possible pairs to help convince yourself the slope is 1.

You might be interested in
Finish solving the system of equations –9.5x – 2.5y = –4.3 and 7x + 2.5y = 0.8 using the linear combination method
jek_recluse [69]
__________________
x=1.4
y=-3.6
___________________
:)
5 0
3 years ago
Choose the correct description of the graph of the compound inequality x − 2 > −4 and 3x less than or equal to 15.
Evgesh-ka [11]

Answer:

A number line with an open circle on −2, a closed circle on 5, and shading in between

Step-by-step explanation:

solve it you get x>-2

and 3x <=15

x<=5

so its close on 5 and open on -2

7 0
3 years ago
Trying to find volume
Goryan [66]

Answer:660 in

Step-by-step explanation:10x11x6=660 in

5 0
3 years ago
What can you say about the marked angles?
Ivahew [28]

the marked angles are complementary → B

All 3 triangles are right with one angle = 90°

the sum of the angles in a triangle = 180°

thus the remaining 2 marked angles sum to 90°, thus are complementary


4 0
3 years ago
What is 15/100 in simplest form
lara [203]
To make a fraction into simplest form you have to find the greatest common factor. In this case it is 5. So then you divide both the numerator and the denominator by the greatest common factor of 5.
15÷5=3
100÷5=20
There is no factors that go into both 3 and 20 so simplest form is 3/20.
5 0
3 years ago
Read 2 more answers
Other questions:
  • If a crime is being committed every 5 seconds. How many crimes are committed every day?
    12·1 answer
  • (10 points) Northeast Food Distributor has 1,247 employees. 187 of those employees were sick last week. What percent of Northeas
    9·1 answer
  • Write a fraction less than 1 and a denominator of 6 that is greater than 3/4
    6·2 answers
  • The coordinate plane below represents a community. Points A through F are houses in the community. graph of coordinate plane. Po
    5·1 answer
  • What is the value of the expression. 3√216 NEED ANSWER RIGHT NOW
    12·2 answers
  • Please help. What is the area of the triangle
    11·1 answer
  • Mitchell and his friends went to the candy store, where they can buy candy by the pound. Mitchell bought 1.2 pounds of candy. Hi
    9·2 answers
  • Can someone help me please!
    5·2 answers
  • A number is les than or equal to -11
    12·2 answers
  • Please help me
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!