Final answer:
The rational number between -3 and -4 on the number line is B. (-7/2), which is -3.5 in decimal form.
Step-by-step explanation:
The question asks which rational number could be graphed between – 3 and – 4. The correct answer is B. (-7/2).
To find which number is between -3 and -4, look at the numerators and denominators given in the options.
The fraction -7/2, or -3.5 when converted to a decimal, falls between -3 and -4 on the number line. Answers A. (1/2), C. (-3/2), and D. (-5/2) do not fall in the range between -3 and -4 since they translate to 0.5, -1.5, and -2.5 in decimal form, respectively. Therefore, the only rational number between -3 and -4 is B. (-7/2).