Ruiari has a weekend job - Junior Cycle Mathematics - Question Q11 - 2011
Question Q11
Ruiari has a weekend job. His total pay per day is a fixed rate plus tips. The tips are a percentage of the customer spend.
The graph below shows Ruiari's total pay... show full transcript
Worked Solution & Example Answer:Ruiari has a weekend job - Junior Cycle Mathematics - Question Q11 - 2011
Step 1
What is Ruiari's fixed rate per day (his pay when the customer spend is €0)?
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
Ruiari's fixed rate per day is €80. This is the pay he receives when there is no customer spend.
Step 2
What was Ruiari's total pay on that day?
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
To find Ruiari's total pay on the day when the customer spend was €500 (so S = 5), we can use the equation referring to his pay:
R=80+10S
Substituting S = 5 into the equation:
R=80+10(5)=80+50=€130
Therefore, Ruiari's total pay that day was €130.
Step 3
How much was Ruiari paid in tips on that day?
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 out how much Ruiari was paid in tips, we need to subtract his fixed rate from his total pay:
Tips=Total Pay−Fixed Rate
So:
Tips=130−80=€50
Ruiari was paid €50 in tips.
Step 4
Explain what this means in the context of Ruiari’s total pay and the customer spend.
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 point (2, 5, 105) on the graph indicates that when the customer spend is €250 (which corresponds to S = 2.5), Ruiari receives a total pay of €105. This relationship showcases how Ruiari’s total pay comprises his fixed pay and the additional tips earned from the customer spending.
Step 5
Tick (✓) the correct box to show which one corresponds to the graph of Ruiari's total pay. Tick one box only. Justify your answer.
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
The correct equation that corresponds to the graph of Ruiari's total pay is:
R = 80 + 10S.
Justification: This equation matches the fixed pay of €80 and the variable increase of €10 for each additional hundred euro spent.
Step 6
Draw the graph of Cillian’s pay, C, on the axes below, for 0 ≤ S ≤ 5 and S ∈ R.
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
To graph Cillian's pay, we will use the equation C = 60 + 20S.
Identify key points:
When S = 0, C = 60 + 20(0) = €60
When S = 1, C = 60 + 20(1) = €80
When S = 2, C = 60 + 20(2) = €100
When S = 3, C = 60 + 20(3) = €120
When S = 4, C = 60 + 20(4) = €140
When S = 5, C = 60 + 20(5) = €160
Plot the points (0, 60), (1, 80), (2, 100), (3, 120), (4, 140), and (5, 160) on the graph.
Connect the points to show a straight line since this is a linear relationship.
Join the Junior Cycle students using SimpleStudy...
