The coordinate of pointP on the number line above is x. The value of 10x is between
The value of 10x is between 4 and 6.
The original question asks for the range of values of 10x based on the position of point P on the number line. If the value of 10x is between 4 and 6, it means that the value of x is between 0.4 and 0.6 on the number line.
This option would imply that the value of x is between 0.1 and 0.4. However, this does not match the position of point P on the number line as shown in the question. Hence, this choice is incorrect.
This option suggests that the value of x lies between 0.4 and 0.6. This is consistent with the position of point P on the number line. Therefore, this choice is the correct answer.
If 10x was between 6 and 8, then x would be between 0.6 and 0.8. This range does not correspond with the position of point P on the number line. Therefore, this choice is not correct.
This option would indicate that the value of x is between 0.8 and 1.2. However, this does not align with the position of point P on the number line as shown in the question. Hence, this choice is incorrect.
The value of x is determined by the position of point P on the number line. By multiplying x by 10, we can find the range of values that 10x can take. Based on the position of point P, the value of 10x falls between 4 and 6, which implies that x is between 0.4 and 0.6. The other choices do not match with the position of point P, making them incorrect. Therefore, the correct answer is 'B) 4 and 6'.
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