QUESTION IMAGE
Question
- four days ago, the temperature outside was -7 degrees. each day since then, it has risen 2 degrees each day.
a)create a table of values that represents from 4 days ago until 3 days from now.
b) graph. should you join the dots? why or why not?
table with day and temperature columns, rows: -4: -7, -3: -5, -2: -3, -1: -1, 0: 1, 1: 3, 2: 5, 3: 7
graph grid
Step1: Verify table values
Starting at day -4: $-7$
Day -3: $-7 + 2 = -5$
Day -2: $-5 + 2 = -3$
Day -1: $-3 + 2 = -1$
Day 0: $-1 + 2 = 1$
Day 1: $1 + 2 = 3$
Day 2: $3 + 2 = 5$
Day 3: $5 + 2 = 7$
Step2: Address graph dot question
Temperature changes continuously over time, not just at daily checkpoints. So we can connect the dots to represent the gradual, ongoing temperature increase between measured daily values.
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a) Verified table of values:
| Day | Temperature |
|---|---|
| -3 | -5 |
| -2 | -3 |
| -1 | -1 |
| 0 | 1 |
| 1 | 3 |
| 2 | 5 |
| 3 | 7 |
b) Yes, you should join the dots. Temperature changes continuously throughout each day, not just in daily jumps, so connecting the dots shows the smooth, ongoing temperature trend between the recorded daily values.