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
rjkz [21]
3 years ago
6

Larry is using an online calculator to calculate the outputs f(n) for different inputs n. The ordered pairs below show Larry's i

nputs and the corresponding outputs displayed by the calculator:
(1, 5), (2, 9), (3, 13), (4, 17)

Which of the following functions best represents the rule that the calculator uses to display the outputs?

a
f(n) = 5n − 1

b
f(n) = 5n + 1

c
f(n) = 4n + 1

d
f(n) = 4n − 1
Mathematics
1 answer:
FrozenT [24]3 years ago
5 0

Answer:

Option c:

f(n)=4n+1

Step-by-step explanation:

The functional relationship between two variables can be easily found if it's represented as a line.

Larry's online calculator collects these points

(1, 5), (2, 9), (3, 13), (4, 17)

We can see there is a linear relation because every time the first component increases by 1, the second increases by 4.

The equation of a line is given by

f(n)=m.n+b

Where m is the slope of the line and can be computed as

\displaystyle m=\frac{d-b}{c-a}

Where (a,b), (c,d) are two known points of the line. Let's use the first two points (1, 5), (2, 9)

\displaystyle m=\frac{9-5}{2-1}=4

We now know that

f(n)=4n+b

To compute the value of b, we use one of the points again, for example (1,5):

5=4(1)+b => b=1

The relation is

f(n)=4n+1

We can test our results by using other points like (3,13)

f(3)=4(3)+1=13

And also

f(4)=4(4)+1=17

All points belong to the same function or rule

f(n)=4n+1

You might be interested in
When calculating the area of a trapezoid, how do you determine which sides are the bases?
ira [324]

Here is a video to help you with your question:

https://youtu.be/WaeD3qKc7Jc

3 0
3 years ago
Terday. Priya successfully made 6 free throws. Today, she made 75% as
tatuchka [14]

Answer:

10

Step-by-step explanation:

Yesterday, Priya successfully made 6 free throws.

Today, she made 75% as many as yesterday.

We are asked to calculate the number of successful free throws that Priya made today.

So, the number will be 6 (1 + \frac{75}{100} ) = 10.5.

Since it is the number of successful free throws, so it will be 10 throws. ( Answer )  

4 0
3 years ago
every three days Seth goes to the grocery store every brain goes to the store every 5 days what day will they both go
Rom4ik [11]
If seth goes every three days and Brian im assuming is the name.Goes every five days then they will both go on day 15
6 0
3 years ago
Read 2 more answers
Explain in real life scenario in which opposite quantities combine together to make 0.
harkovskaia [24]
A bagel store bakes 57 bagels.Throughout the day, they sell all 57 bagels, leaving them with 0. Hope this helps
3 0
3 years ago
Please, I need this right now :(
Mkey [24]

Answer:

y=3/4x-2

Step-by-step explanation:

y

8 0
3 years ago
Read 2 more answers
Other questions:
  • Please answer this question as soon as you can I need it for homework
    7·2 answers
  • It is 4,452 miles round trip to Craig's aunts house. If he travels to her house 3 times this year, how many miles did he travel
    13·2 answers
  • At a store, 4 pairs of pants cost $90.00 and 4 pairs of jeans cost $78.00. How much would it cost to buy 3 pairs of pants and 5
    14·1 answer
  • If you double the sum of 5 and the number ____, you will get 16
    9·2 answers
  • Ian tosses a bone up in the air for his dog, Spot. The height, h, in feet, that Spot is above the ground at the time t seconds a
    5·1 answer
  • 1. A student has several boxes of penils in his backpack. Each box contains 12 pencils. The student
    5·2 answers
  • Which is a greater y-intercept (0,-1) or (0,-2)
    9·1 answer
  • Y=-1\2+1 with a slope intercept that contains (5,6)
    11·1 answer
  • \angle DAC=\angle BAD∠DAC=∠BADangle, D, A, C, equals, angle, B, A, D. What is the length of \overline{AC} AC start overline, A,
    5·2 answers
  • A car travels 200 miles on 8 gallons of gas. How far can it travel on 20 gallon
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!