Final answer:
None of the provided number line models correctly represent the expression −2 + (−7/2) −2 as they do not start with the correct value, which should be −7.5 after simplification of the expression.
Correct option is not given.
Step-by-step explanation:
The question asks which number line model represents the expression −2 + (−7/2) −2. To solve this, we first convert the mixed operations into a single operation by recognizing that subtraction of a negative number is equivalent to addition.
Therefore, the expression becomes −2 + (−(7/2)) −2 which simplifies to −2 − 7/2 − 2.
To combine these, we need a common denominator, which is 2, so we rewrite −2 as −4/2 and −2 as −4/2, getting −4/2 − 7/2 − 4/2 = −15/2. Converting −15/2 into a decimal yields −7.5.
We now look for a number line sequence that starts at −7.5 and has consistent decrements since the last operation is a subtraction of 2 (−4).
Option (a) begins at −4.5, which is incorrect. Options (b), (c), and (d) also do not start at the correct value.
Thus, none of the provided options correctly represent the sequence starting at −7.5. The correct sequence should have been −7.5, −8, −8.5, −9, −9.5, but it's not listed among the options.
Correct option is not given.