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).
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Worked Solution & Example Answer:The table below shows the three graphs A, B, and C - Junior Cycle Mathematics - Question 7 - 2021
Step 1
Determine the Gross Income Tax Amount
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Answer
To find the amount of tax Jean must pay based on her gross income, we first calculate 20% of her gross income:
Tax=0.2×Gross Income
Step 2
Account for the Tax Credit
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Since Jean has a tax credit of €3000, we subtract this amount from the calculated tax:
Tax Payable=0.2×Gross Income−3000
Step 3
Evaluate Each Graph
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Graph A: This graph represents a straight-line increase in tax with no intercept, implying no tax credit is applied.
Graph B: This graph starts at the point where the tax becomes positive after accounting for the tax credit.
Graph C: Similar to Graph A, this does not correctly reflect the tax credit.
Based on the calculations, Graph B is the correct representation of Jean's tax obligations after accounting for her €3000 tax credit.
Step 4
Final Selection
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Answer
Thus, tick B as the correct graph that shows the tax Jean must pay.
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