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
Zanzabum
3 years ago
15

Graph the function by the table. Is the function linear or nonlinear?

Mathematics
2 answers:
nikitadnepr [17]3 years ago
6 0
The answer is Nonlinear.
Karolina [17]3 years ago
3 0

Answer:

Option A - Non-linear              

Step-by-step explanation:

Given : Graph the function by the table.

x           y

1          12.3

2         19.6

3         26.6

4         34.2

5         41.5

To find : Is the function linear or nonlinear?

Solution :

The function is linear when there slopes are equal.

So, we find the slope of the points.

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

Taking point, (x_1,y_1)=(1,12.3) and (x_2,y_2)=(2,19.6)

m=\frac{19.6-12.3}{2-1}

m=\frac{7.3}{1}

m=7.3

Taking point, (x_1,y_1)=(2,19.6) and (x_2,y_2)=(3,26.6)

m=\frac{26.6-19.6}{3-2}

m=\frac{7}{1}

m=7

We have seen that slope between points are not equal.

Therefore, The given points are non-linear.

So, Option A is correct.

You might be interested in
The varsity basketball team started selling T-shirts online in 1994. The number of T-shirts sold online, s, is modeled by the gr
-Dominant- [34]

(PART-A): s-intercept in this case represents the y-intercept of the graph, whereas the t-intercept in this case represents the x-intercept of the graph.

Always remember that y-intercept represents the value of y where the curve (or line) crosses the y-axis, and x-intercept represents the value of x where the curve (or line) crosses the x-axis.

In the graph attached with the question, at point (0,6) the curve crosses the y-axis. Therefore, the <em>y-intercept (s-intercept) in this case is 6</em>. It means that in year 2000 (t=0), 6 hundred shirts were sold.

However, there is no point on the graph where the curve crosses the x-axis, meaning there is <em>no x-intercept (t-intercept)</em>. It means that there is <em>not</em> a single year when the number of shirts sold is 0.


(PART B): As you can see in the graph (attached with the question) that the <em>f(t)</em> is increasing (exponentially) with the increase in <em>t. </em>Therefore, we can safely say that as t increases without bound, the f(t) increases (also). In this context, it means that the sale of shirts increases as the years go by. Hence, the correct blank is "increases."


(PART C): The average rate of change is actually the slope. To find the slope, we can use the following formula:

slope = \frac{y_2 - y_1}{x_2 - x_1} --- (X)

Given points: (5, 12.5) and (7, 22). Plug the values in equation (X),

slope = \frac{22-12.5}{7-5} = 4.75

Hence, the average rate of change for the function between t=5 and t=7 is 4.75 (answer).


(PART D): This part is bit tricky. Therefore, read the explanation carefully!

You can see in the graph that number of Shirts sold is in <em>hundreds. </em>It means that 1 unit (of y-axis in a graph) represents 100 shirts. Therefore, as in the question it is mentioned that there are 1000 T-shirts sold, it will become 10 units (since 10*100 = 1000). So, the function g(t) will become the following:

g(t) = f(t) + 10 --- (Y)

Why did I add f(t)? Because in the question, the word "<em>and</em>" is underlined. It means that g(t) represents not only 1000 T-shirts (10*100 = 1000) sold at the basketball games each year, but it also has the number of T-shirts sold ONLINE, which is f(t).

Now insert f(t) in (Y) and solve:

g(t) = f(t) + 10\\g(t) = (1.5)^t + 5+ 10\\g(t) = (1.5)^t + 15

Hence, g(t) is (1.5)^t + 15

8 0
3 years ago
Read 2 more answers
I'm completely lost. I don't know how to start the question. Can you help me ?
BaLLatris [955]
The answer is D 13/28.
8 0
3 years ago
Read 2 more answers
24x=3y solve for x and y
olga2289 [7]
\ 24x=3y \\ \\ \ x=3 \ ; \ y=24
4 0
4 years ago
A kindergarten class has 9 girls and 11 boys in class.What percent of the class are girlsit rain
Nesterboy [21]
The answer would be 70%
4 0
3 years ago
Please help! I will mark brainliest :))
Valentin [98]

First do inside the parenthesis first.

When dividing two exponents subtract them.

15-5 = 10

So w^15 / w^5 becomes w^10


Now you have (w^10)^4

Now multiply the exponents:

10 x 4 = 40

Final answer is w^40

3 0
3 years ago
Other questions:
  • Combine like terms.9 + 18s – 7s<br> a. 20s<br> b. 9 + 11s<br> c. 9 – 11s<br> d. 20
    7·1 answer
  • −5x+2y=9<br> y=7x<br> what is x and y
    9·1 answer
  • A spherical helium balloon has a diameter of 30 cm. How much helium is needed to fill the balloon, in cubic centimeters? Round y
    12·1 answer
  • I missed 56 questions out of a 100 what is my score ?
    13·2 answers
  • I need help with this.
    10·1 answer
  • . The number of parking tickets handed out at BCCC was twice the number of tickets handed out last year. The number of tickets h
    15·1 answer
  • Which quadrant of a coordinate plane contains the point (-2,8) ?
    7·1 answer
  • Given u = −5i + 2j, v = −6i + 4j, find −2u + 2v
    14·1 answer
  • Please help me on this thanks! will giv brain liest if right.
    14·1 answer
  • Answer the Following problem about derivatives.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!