The table below shows the three graphs A, B, and C - Junior Cycle Mathematics - Question 7 - 2021
Question 7
The table below shows the three graphs A, B, and C. Each graph shows the tax that someone must pay depending on their gross income. Each graph begins at (0,0).
Jean... show full transcript
Worked Solution & Example Answer:The table below shows the three graphs A, B, and C - Junior Cycle Mathematics - Question 7 - 2021
Step 1
Determine Jean's Income Tax Without Tax Credit
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 out how much tax Jean must pay on her gross income, we first calculate the tax based on the rate of 20%.
Given her gross income, the income tax can be calculated as:
extIncomeTax=0.2imesextGrossIncome
Step 2
Adjust for Tax Credit
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
Since Jean has a tax credit of €3000, we must subtract this amount from her calculated income tax. The effective tax owed becomes:
extTaxOwed=extIncomeTax−3000
Step 3
Analyze the Graphs
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
Now we examine the graphs A, B, and C to identify which one correctly represents the relationship between Jean's gross income and her tax owed after applying the tax credit.
Graph A: Shows a constant upward trend, but does not account for the tax credit.
Graph B: Starts at a lower point and then increases, indicating a reduction due to initial credits.
Graph C: Also shows an increase but at a rate that aligns with the 20% tax after credits.
Based on these observations, Graph B most accurately depicts the situation.
Step 4
Conclusion
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
Thus, I would tick B for the graph that represents the tax Jean must pay, considering her initial tax credit of €3000.
Join the Junior Cycle students using SimpleStudy...
