The cost of one teaspoon of basil is $0.23. Therefore, option D is the correct answer.
We need to find the cost of basil per teaspoon.
How to interpret the data table?
Interpretation of the data table is as follows:
- Identify the subject under study.
- Identify the variable(s) presented in the table.
- Identify the measuring unit used (frequencies, percentages, rates, etc.)
- Read the information presented in table cells.
Let the cost of one teaspoon of basil be $x, oregano be $y and parsley be $z.
Now, x+2y+3z=1.06-----(1), x+y+2z=0.72-----(2) and 2x+2y+z=0.99-----(3)
Equation (1)-(2), we get
x+2y+3z-(x+y+2z)=1.06-0.72
⇒y+z=0.34-----(4)
⇒z=0.34-y
Substitute z=0.34-y in equation (3).
That is, 2x+2y+0.34-y=0.99
⇒2x+y+0.34=0.99
⇒2x+y=0.65---(5)
Substitute z=0.34-y in equation (2)
Equation (5)-(4), we get
x+y+2(0.34-y)=0.72
⇒x+y+0.68-2y=0.72
⇒x-y=0.04-----(6)
Add equations (5) and (6), and we get
2x+y+x-y=0.65+0.04
⇒3x=0.69
⇒x=0.23
Therefore, the cost of basil per teaspoon is $0.23.
To learn more about the system of equations visit:
https://brainly.com/question/9351049.
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