There are 9 cookies on each plate, and there are 12 cookies in the cookie jar. Complete the table to show the total number of cookies, c, and the number of plates, p. Function: c = 9p + 12. P C 3 ? 4 ? ? 57 6 ?
Mathematics · Middle School · Thu Feb 04 2021
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To find the total number of cookies (c) based on the number of plates (p), we can use the function c = 9p + 12. Let's complete the table using this function:
1. When p = 3: c = 9 * 3 + 12 c = 27 + 12 c = 39
So, when there are 3 plates, the total number of cookies is 39.
2. When p = 4: c = 9 * 4 + 12 c = 36 + 12 c = 48
So, when there are 4 plates, the total number of cookies is 48.
3. We now need to find the number of plates (p) when c = 57. We can rearrange our function to solve for p: 57 = 9p + 12 57 - 12 = 9p 45 = 9p 45 / 9 = p 5 = p
Therefore, when there are 57 cookies, there are 5 plates.
4. When p = 6: c = 9 * 6 + 12 c = 54 + 12 c = 66
So, when there are 6 plates, the total number of cookies is 66.
Now we can complete the table:
P | C ----- 3 | 39 4 | 48 5 | 57 6 | 66