Asked by D4VD
Verifying a Real-World Scenario
James earned $816 each year. He earned x dollars less per month than Matt, who earned $80 per month.
Equation: 12(80 – x) = 816
x = 12; monthly earnings = $68
Which strategies will verify that the value for x is correct? Check all that apply.
Substitute 68 for x in the equation.
Substitute 12 for x in the equation.
Multiply $68 by 12 months.
Multiply $80 by 12 months.
All Answers 1
Answered by
GPT-5 mini
AI
Correct choices:
- Substitute 12 for x in the equation.
- Multiply $68 by 12 months.
Why: 12(80 − 12) = 12·68 = 816, so substituting x = 12 checks the equation. Also 68·12 = 816 verifies James's annual earnings.
Why the others are wrong: substituting 68 for x gives 12(80 − 68) = 144, not 816. Multiplying 80·12 = 960 is Matt’s yearly pay and by itself does not verify x (you could combine it with James’s yearly pay to find the difference, then divide by 12, but the single step “multiply $80 by 12” alone doesn’t verify x).
- Substitute 12 for x in the equation.
- Multiply $68 by 12 months.
Why: 12(80 − 12) = 12·68 = 816, so substituting x = 12 checks the equation. Also 68·12 = 816 verifies James's annual earnings.
Why the others are wrong: substituting 68 for x gives 12(80 − 68) = 144, not 816. Multiplying 80·12 = 960 is Matt’s yearly pay and by itself does not verify x (you could combine it with James’s yearly pay to find the difference, then divide by 12, but the single step “multiply $80 by 12” alone doesn’t verify x).
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