A photographer launched her website with 27 photographs on it and has been uploading 24 more every month.Let m represent the number of months since the launch and p represent the total number of photographs on the website.Complete the table using the relationship between m and p.m p1 3 5 7
Question
A photographer launched her website with 27 photographs on it and has been uploading 24 more every month.Let m represent the number of months since the launch and p represent the total number of photographs on the website.Complete the table using the relationship between m and p.m p1 3 5 7
Solution
The relationship between m (months) and p (photographs) is given by the equation p = 27 + 24m. This means that the total number of photographs is equal to 27 (the initial number of photographs) plus 24 times the number of months since the launch.
Let's use this equation to fill in the table:
For m = 1 (one month after the launch), p = 27 + 24*1 = 51.
For m = 3 (three months after the launch), p = 27 + 24*3 = 99.
For m = 5 (five months after the launch), p = 27 + 24*5 = 147.
For m = 7 (seven months after the launch), p = 27 + 24*7 = 195.
So, the completed table is:
m p 1 51 3 99 5 147 7 195
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