AlgebraMediumInterpreting a point on a linear graph
Algebra practice question
The graph of y = f(x) in the xy-plane is a line that passes through (0, 30) and (10, 0), where x is the number of days since a shop's sale began and y is the number of a certain jacket left in stock. What does the point (10, 0) represent?
- A. The jackets sold out 10 days after the sale began.Correct
- B. There were 10 jackets at the start of the sale.
- C. 10 jackets were sold on the first day.
- D. The sale lasted 30 days.
Answer: A. The jackets sold out 10 days after the sale began.
At x = 10, y = 0: no jackets left after 10 days.
Why the other answers are wrong
- B. There were 10 jackets at the start of the sale.
- The starting stock is the y-intercept, 30.
- C. 10 jackets were sold on the first day.
- The rate is 3 per day, not 10.
- D. The sale lasted 30 days.
- 30 is the starting stock, not a duration.
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