Concept explainers
To find the solution of the equation using table features on a graphing calculator.
Answer to Problem 36E
The solution of the equation is x=1.3
Explanation of Solution
Given information :
The expression is 3.7x .
Calculation:
Step 1: enter the expression into the calculator. The keystroke is given below:
Y= 3 X
Step 2: Use calculator’s table feature to evaluate the value of the expression for different value of x . Press 2nd[TBLSET] and enter the settings as TblStart=0 and ΔTbl=0.1 .
Step 3: Press 2nd[TABLE] to display the table which is shown below:
X | Y |
0 | 0 |
0.1 | 0.37 |
0.2 | 0.74 |
0.3 | 1.11 |
0.4 | 1.48 |
0.5 | 1.85 |
0.6 | 2.22 |
0.7 | 2.59 |
0.8 | 2.96 |
0.9 | 3.33 |
1 | 3.7 |
1.1 | 4.07 |
1.2 | 4.44 |
1.3 | 4.81 |
1.4 | 5.18 |
1.5 | 5.55 |
1.6 | 5.92 |
Now, to find the solution of 3.7x=4.81 , identify the value of X in first column for which the value of Y in the second column is equal to 4.81.
From the above table, it can be observed that the value of X for which the value of Y is equal to 4.81 is 1.3.
Hence,
The solution of the equation is x=1.3 .
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