A group of friends makes a video and posts it on YouTube - Junior Cycle Mathematics - Question 9 - 2018
Question 9
A group of friends makes a video and posts it on YouTube.
They know that they will be paid approximately €15 for each 10 000 views of the video.
Use this information... show full transcript
Worked Solution & Example Answer:A group of friends makes a video and posts it on YouTube - Junior Cycle Mathematics - Question 9 - 2018
Step 1
Work out how many views of the video they would need in order to be paid €45.
96%
114 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
To find the number of views needed for €45, we can set up the equation based on the payment structure:
Given that they earn €15 for every 10,000 views, we can express the relationship as:
rac{15}{10000} = rac{45}{x}
Cross-multiplying gives:
15x=450000
Solving for x, we find:
x = rac{450000}{15} = 30000 \
Therefore, they need 30,000 views.
Step 2
Work out how much (in euro) they will be paid for 80 000 views of the video.
99%
104 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
For 80,000 views, we can calculate the payment using the same rate.
The calculation is:
ext{Payment} = rac{15}{10000} imes 80000 = €120\
Hence, they will be paid €120.
Step 3
Work out how much (in euro) they will be paid, on average, for 1 view of the video.
96%
101 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
To find the payment per view, we take the total payment for 10,000 views and divide it by the number of views:
ext{Average payment per view} = rac{15}{10000} = €0.0015\
Thus, on average, they will be paid €0.0015 per view.
Step 4
Write an expression in x for the profit (in euro) they will get for x views of the video.
98%
120 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
The profit can be expressed as:
extProfit=extRevenue−extCost
Where:
Revenue for x views is given by: rac{15}{10000} imes x
Cost is €70.
Thus, the expression for profit in euros becomes:
ext{Profit} = rac{15}{10000}x - 70\
Step 5
Write an equation in x to represent this information, where x is the total number of views of the video.
97%
117 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
Since there are 7 people sharing the profit and each gets €200, we can set up the equation:
rac{ rac{15}{10000} x - 70}{7} = 200\
Step 6
Work out the value of x, the total number of views of the video.
97%
121 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
From the previous step, rearranging the equation:
rac{15}{10000} x - 70 = 1400\
Adding 70 to both sides gives:
rac{15}{10000} x = 1470\
Multiplying both sides by 10000 and dividing by 15 gives:
x = rac{1470 imes 10000}{15} = 98000\
So, the total number of views of the video is 98,000.
Join the Junior Cycle students using SimpleStudy...
