Use a table to find the solution of the equation. If the solution lies between two consecutive integers, identify those integers.
30.7 = 5n - 1
To find the solution of the equation 30.7 = 5n - 1 using a table, we can create a table by plugging in different values of 'n' and evaluating the equation.
Let's start with 'n' = 5:
5n - 1 = 5*5 - 1 = 25 - 1 = 24 (not equal to 30.7)
Next, let's try 'n' = 6:
5n - 1 = 5*6 - 1 = 30 - 1 = 29 (not equal to 30.7)
Moving on, let's test 'n' = 7:
5n - 1 = 5*7 - 1 = 35 - 1 = 34 (not equal to 30.7)
We can continue this process, plugging in different integer values of 'n' until we find a result that comes close to 30.7 without exceeding it.
However, since the solution lies between two consecutive integers, as stated in the problem, we can conclude that there is no integer solution for this equation.
To solve the equation 30.7 = 5n - 1 using a table, we can substitute different values for n and calculate the corresponding value of 5n - 1. Let's start by plugging in some values and constructing the table:
| n | 5n - 1 |
|---|-------|
| 0 | -1 |
| 1 | 4 |
| 2 | 9 |
| 3 | 14 |
| 4 | 19 |
| 5 | 24 |
| 6 | 29 |
| 7 | 34 |
From the table, we can see that when n = 6, the value of 5n - 1 is 29, which is the closest value to 30.7. Therefore, the solution of the equation lies between n = 6 and n = 7, where n = 6 is the smaller integer and n = 7 is the larger integer.