Question

#1. Complete A - I (nine questions) based on the scenario below:
Nicki Minaj and Doja Cat each released a different song on the same day. At the end of the first week, the number of songs downloaded for each was 1000. For the first 6 weeks, the number of downloads for each singer increased according to the following rules.

Nicki Minaj: The number of downloads tripled each week.

Doja Cat: The number of downloads increased by 5000 each week.

The table below show the number of downloads for two singers for the first 6 weeks

Answer 1

Step-by-step explanation:

First of all, let me summarize the question facts :-

For Nicki Minaj - If the sample is x, it will be 3x.

For Doja Cat - If the sample is x, the next value is x+5000

Now, Nicki Minaj-

• Week 0 - 1000
• Week 1 - 3000
• Week 2 - 6000
• Week 3 - 9000
• Week 4 - 12000
• Week 5 - 15000
• Week 6 - 18000

Now, for Doja cat :-

• Week 0 - 1000
• Week 1 - 6000
• Week 2 - 11000
• Week 3 - 16000
• Week 4 - 21000
• Week 5 - 26000
• Week 6 - 31000

Answering the Questions :-

1. On week 3, Nicki Minaj will be having 9000 downloads.
2. On week 5, Doja cat will be having 26000 downloads.
3. Nicki Minaj:- Let us assume it as x.

So, it will be 3x $.$

Answer 2

Given :-

Nicki Minaj and Doja Cat each released a different song on the same day. At the end of the first week, the number of songs downloaded for each was 1000. For the first 6 weeks, the number of downloads for each singer increased according to the following rules. Nicki Minaj: The number of downloads tripled each week. Doja Cat:

The number of downloads increased by 5000 each week.

To Find :-

a)How many downloads will Nicki Minaj have on 3rd week

b)How many downloads will Doja Cat will have on 3rd week

c)What type of function does Nicki Minaj downloads?

Solution :-

a) As Nicki Minaj downloads are increasing by triple

Let the downloads be y

After 2 weeks = 3y

After 3 weeks = 3 × 3y

We have y = 1000

So,

⇒ 3 × 3(1000)

⇒ 3 × 3000

⇒ 9000

So,

Week 0 = 1000

Week 1 = 3(1000) = 3000

Week 2 = 2 × 3(1000) = 6000

Week 3= 9000

Week 4 = 4 × 3(1000) = 12000

Week 5 = 5 × 3(1000) = 15000

Week 6 = 6 × 3(1000) = 18,000

b) For Doja cat Let the downloads be a

Now After 2 weeks = 5000 + a

After 3 weeks = 5000 + (5000 + a)

We have a as 5000

After 3 weeks ⇒3(5000) + 1000

⇒ 15000 + 1000

⇒ 21000

Week 0 = 1000

Week 1 = 1000 + 5000 = 1500

Week 2 = 1000 + 5000 + 5000 = 11000

Week 3 = 1000 + 3(5000) = 16000

Week 4 = 1000 + 4(5000) = 21000

Week 5 = 1000 + 5(5000) = 26000

Week 6 = 1000 + 6(5000) = 31000

c) The function of Nicki Minaj shows the increase of the downloads is triple