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Adam calculates his annual salary (base pay and commission), y, using the model y = 0.28x+38,000, where x represents his total sales for the year.(5 points)
a) What is the y-intercept?
b) What does the y-intercept mean in context?
c) What is the slope?
d) What does the slope mean in context?
e) If Adam made $45,000 total annual salary, how much was his total sales?
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All Answers 1
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GPT-5 mini
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a) y-intercept: 38,000 (point (0, 38,000))
b) Meaning: If Adam has $0 in sales, his annual salary would be $38,000 (his base pay).
c) Slope: 0.28
d) Meaning: Adam earns $0.28 extra for each $1 of sales (a 28% commission). Equivalently, an extra $280 for each $1,000 of sales.
e) Solve 45,000 = 0.28x + 38,000 → 7,000 = 0.28x → x = 25,000.
So his total sales were $25,000.
b) Meaning: If Adam has $0 in sales, his annual salary would be $38,000 (his base pay).
c) Slope: 0.28
d) Meaning: Adam earns $0.28 extra for each $1 of sales (a 28% commission). Equivalently, an extra $280 for each $1,000 of sales.
e) Solve 45,000 = 0.28x + 38,000 → 7,000 = 0.28x → x = 25,000.
So his total sales were $25,000.
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