Use a table to find the solution of the equation. If the solution lies between two consecutive integers, identify those integers.
11.3=4n-1
To find the solution of the equation 11.3=4n-1 using a table, we can create a table where we substitute different values of n and calculate the corresponding value of 4n-1.
Here's the table:
n | 4n-1
---------
0 | -1
1 | 3
2 | 7
3 | 11
4 | 15
5 | 19
We can see that when n is 2, the value of 4n-1 is 7, which is the closest integer value to 11.3 without exceeding it. Therefore, the solution to the equation 11.3=4n-1 lies between 2 and 3.
To find the solution of the equation 11.3 = 4n - 1, we can create a table of values by substituting different values of n.
Let's start by assuming n as an integer value and substitute it into the equation:
For n = 0:
4n - 1 = 4(0) - 1 = 0 - 1 = -1
For n = 1:
4n - 1 = 4(1) - 1 = 4 - 1 = 3
For n = 2:
4n - 1 = 4(2) - 1 = 8 - 1 = 7
For n = 3:
4n - 1 = 4(3) - 1 = 12 - 1 = 11
For n = 4:
4n - 1 = 4(4) - 1 = 16 - 1 = 15
Based on these values, we can see that a solution does not lie exactly between two consecutive integers.
Therefore, the solution to the equation 11.3 = 4n - 1 is n = 2.825.