To fill in the missing parts of the table, let's denote the values clearly:
| x - # of days | 0 | a. 7 | b. | |---------------|---|------|------| | y - # of texts | c. | 75 | d. 300 |
From the information provided:
- For y at x = a (7 days), we know it’s 75 texts, so we can fill in that value.
- For y at x = b, we know it’s 300 texts.
Now, to find the values of c and the correspondence of x for a and b, we need to set a basis for filling the table.
Assuming a linear relationship between the number of days and the number of texts, we can solve for the missing values.
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When x = 0 (c), let's assume there are no texts sent on day 0, which gives us:
- c = 0.
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Now for b, the relationship can be derived based on the information we have:
- Over a span of 7 days, there are 75 texts sent.
- To find the average number of texts per day over these 7 days: \[ \text{Average texts per day} = \frac{75}{7} \approx 10.71 \text{ texts/day} \]
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Assuming we keep increasing linearly to 300 texts for another period (which we can denote as change in days from 7 to b), we could find this equation by creating a proportionate measure.
So let’s assume that from day 7 to day b, where b values we can hypothesize as 30 days total (an example) to reach 300:
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From 75 texts at 7 days, to reach 300, the additional texts would be: \[ 300 - 75 = 225 \text{ texts} \]
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The days between x = 7 and x = 30 (additional 23 days): \[ \text{Average for 23 days} = \frac{225}{23} \approx 9.78 \text{ texts/day} \]
To summarize, in full the filled table is:
| x - # of days | 0 | 7 | 30 | |---------------|---|----|----| | y - # of texts| 0 | 75 | 300 |
So filling in the table including placeholders would look like:
- a = 7
- b = 30
- c = 0
- d = 300
Thus completing the information necessary. If specific values for a and b are available or differ, let us know for adjusted calculations!
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