use a table to find the solution of the equation. if the solution lies between two consecutive integers, identify those integers.
12.7=3n-5
To solve the equation 12.7 = 3n - 5 using a table, we can create a table with n as one column and the corresponding value of 3n - 5 as another column.
Let's calculate the value of 3n - 5 for different values of n:
| n | 3n - 5 |
|:------:|:-------:|
| 1 | -2 |
| 2 | 1 |
| 3 | 4 |
| 4 | 7 |
| 5 | 10 |
| 6 | 13 |
| 7 | 16 |
From the above table, we can see that when n is close to 4, the value of 3n - 5 is close to 12.7. Therefore, the solution lies between 4 and 5, inclusive.
Thus, the solution of the equation 12.7 = 3n - 5 lies between the integers 4 and 5.
To find the solution of the equation 12.7 = 3n - 5 using a table, we can create a table to evaluate different values of n. Let's start with n = 0 and increment it by 1 until we find the solution.
| n | 3n - 5 | Equation: 3n - 5 = 12.7 |
|-------|--------|------------------------|
| 0 | -5 | No solution |
| 1 | -2 | No solution |
| 2 | 1 | No solution |
| 3 | 4 | No solution |
| 4 | 7 | No solution |
| 5 | 10 | No solution |
| 6 | 13 | No solution |
| 7 | 16 | No solution |
| 8 | 19 | No solution |
| 9 | 22 | No solution |
| 10 | 25 | No solution |
| 11 | 28 | No solution |
| 12 | 31 | No solution |
| 13 | 34 | No solution |
| 14 | 37 | n = 12.7 is a solution!|
From the table, we can see that n = 14 will give us a value of 37, which is greater than 12.7. On the other hand, for n = 13, the value is 34, which is less than 12.7. Therefore, the solution lies between n = 13 and n = 14.
To find the solution of the equation 12.7 = 3n - 5 using a table, we can create a table by assigning different values to 'n' and then evaluating the equation for each value.
Let's start by assigning values to 'n' in the table and calculate the corresponding value of 3n - 5:
| n | 3n - 5 |
| --- | ------- |
| 0 | -5 |
| 1 | -2 |
| 2 | 1 |
| 3 | 4 |
| 4 | 7 |
| 5 | 10 |
Continue this process until you find the value of 'n' that satisfies the equation.
Based on the table, we can see that the value of 3n - 5 jumps from 10 to 4. This means the solution lies between 'n' = 4 and 'n' = 5.
Therefore, the solution lies between consecutive integers 4 and 5.