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
natulia [17]
3 years ago
15

Aurora is planning to participate in an event at her school's field day that requires her to complete tasks at various stations

in the fastest time possible. To prepare for the event, she is practicing and keeping track of her time to complete each station.
The x-coordinate is the station number, and the y-coordinate is the time in minutes since the start of the race that she completed the task.

(1, 3), (2, 6), (3, 12), (4, 24)

Part A: Is this data modeling an arithmetic sequence or a geometric sequence? Explain your answer. (2 points)

Part B: Use a recursive formula to determine the time she will complete station 5. Show your work. (4 points)

Part C: Use an explicit formula to find the time she will complete the 9th station. Show your work. (4 points)
50 points if you give part a b and c
Mathematics
2 answers:
Ipatiy [6.2K]3 years ago
7 0

Answer:

a) geometric

Step-by-step explanation:

a) geometric

An arithmetic sequence is an ordered set of numbers that have a common difference between each consecutive term, but it is not like this, so it is a geometric sequence.

uranmaximum [27]3 years ago
6 0

SOLUTION

TO DETERMINE

Aurora is planning to participate in an event at her school's field day that requires her to complete tasks at various stations in the fastest time possible. To prepare for the event, she is practicing and keeping track of her time to complete each station.

The x-coordinate is the station number, and the y-coordinate is the time in minutes since the start of the race that she completed the task.

(1, 3), (2, 6), (3, 12), (4, 24)

Part A: Is this data modeling an arithmetic sequence or a geometric sequence?

Part B: Use a recursive formula to determine the time she will complete station 5.

Part C: Use an explicit formula to find the time she will complete the 9th station.

EVALUATION

PART : A

Here it is given that x-coordinate is the station number, and the y-coordinate is the time in minutes since the start of the race that she completed the task.

(1, 3), (2, 6), (3, 12), (4, 24)

So the time is 3 , 6 , 12 , 24

First term = a = 3

Common Ratio = 2

So the time are in Geometric Progression

Hence the data modeling is a geometric sequence

PART : B

We see that if s is station number and t is time then

Ts=3 x 2^{s-1}

Which is the required recursive formula to determine the time

Hence the required time she will complete station 5

=t5

=3 x 2^{5-1}

=3 x 16

= 48

PART : C

The time she will complete station 8

=t8

=3x2^{8-1}

=3x2^{7}

=384

The time she will complete station 9

=t9

=3x2^{9-1}

=3 x 2⁸

=768

Hence the required time she will complete the 9th station

=t₉-t₈

=768-384

=384

You might be interested in
Classify the triangle by its angles and sides.
r-ruslan [8.4K]

Answer:

C

Step-by-step explanation:

This triangle has a right angle so it is right.

It also has three different sides so it is scalene.

C is the answer

8 0
3 years ago
PLEASE HELP! I will give you the brainiest and A LOT of points! (Ch.5.3)
JulsSmile [24]

Step-by-step explanation:

Total distance covered=distance covered by walking+distance covered by jogging

=6/7+4/5=30+28/35

=58/35miles

How much farther did you walk than jog

=6/7-4/5

=30-28/35

=2/35miles

3 0
2 years ago
To gain access to his account, a customer using an automatic teller machine (ATM) must enter a four-digit code. If repetition of
VMariaS [17]
I’m not really much sure, I tried.
8 0
3 years ago
Edna earns $6 for each hour of yard work. How many hours in all will it take Edna to earn<br> $42?
madreJ [45]

Answer:

42 divided by 6=7 so 7 hrs

Step-by-step explanation:

its probalay wrong im not smart lol

5 0
2 years ago
Read 2 more answers
A particular type of mold is growing 9.7% per hour. Assuming that mold growth continues at this rate and there were 14,000 spore
nydimaria [60]

Total mold spores at end of 9.30 am is 26901.

Step-by-step explanation:

Number of molds = 14000

Rate = 9.7% per hour

Number of hours = 12 am to 9.30 am =  9\frac{1}{2} hours

Growth of mold = 14000 * 9.7% * 9\frac{1}{2}

                            = 12901

Total mold spores at end of 9.30 am = 14000 + 12901

                                                                = 26901

Hence, the expected number of mold spores at 9.30 am is 26901.

7 0
3 years ago
Other questions:
  • The sum of a number and 13 divided by 11
    10·1 answer
  • There were 75 customers in the store at 1 o'clock the store must be emptied by 5 how many customers must leave the store between
    6·2 answers
  • a triangle has side cequals6 and angles equals startfraction pi over 4 endfraction and equals startfraction pi over 3 endfractio
    15·1 answer
  • Distributive property -4(-10x^2-8x+7)
    13·1 answer
  • HI CAN I PLEASE GET SOME HELP PLEASE THANK YOU I WOULD APPRECIATE IT HOW MANY SOLUTIONS ARE THERE TO THIS NONLINEAR SYSTEM!!!! A
    11·1 answer
  • 1. Use a protractor to try to draw each triangle. Which of these three triangles is impossible to
    15·1 answer
  • the Elephants at the zoo eat 2 3/4 buckets of bananas each day. The zookeeper bought 5 1/2 buckets of bananas. For how many days
    11·1 answer
  • PLEASE HELP!!!! Only answer if correct though.
    11·2 answers
  • Triangle 2 is a scale drawing of Triangle 1. Based on information in the diagram, what is the length of side b?
    8·1 answer
  • Which of the following is equivalent to 6^2/5
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!