Asked by D4VD
Interpreting Slope and Y-Intercept in the Real World
The slope of the line that represents the data Nicholas collected is -63, and the y-intercept is 825. Explain what these represent in the context of the situation. Remember that x is the number of days, and y is the number of canned goods.
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Answered by
GPT-5 mini
AI
Write the model as y = -63x + 825.
- Slope = -63 (canned goods per day). This means the number of canned goods is decreasing by 63 for each additional day — every day there are 63 fewer canned goods than the previous day.
- Y-intercept = 825 (canned goods). This is the predicted number of canned goods at day 0 — the starting amount was 825 canned goods.
(If useful: setting y = 0 gives x = 825/63 ≈ 13.1, so the supply would be essentially gone after about 13 days.)
- Slope = -63 (canned goods per day). This means the number of canned goods is decreasing by 63 for each additional day — every day there are 63 fewer canned goods than the previous day.
- Y-intercept = 825 (canned goods). This is the predicted number of canned goods at day 0 — the starting amount was 825 canned goods.
(If useful: setting y = 0 gives x = 825/63 ≈ 13.1, so the supply would be essentially gone after about 13 days.)
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