Question

jack wants to model a situation where the perimeter of the rectangle to the right is 6 feet plus or minus 1.5 feet. because he is modeling a length “plus or minus” another length, he decides to use an absolute - value equation for his model. do you agree with his decision? explain your reasoning. choose the correct answer below. a. no. an absolute value equation will not work because the value of x would have to be negative for the perimeter to be 6 ft plus or minus 1.5 ft. b. yes. an absolute value equation will work to model the exact measurement of the perimeter. c. no. an absolute value equation will not work because perimeters cannot be negative. d. yes. an absolute value equation will work to model the ±1.5 ft in the measurement of the perimeter.

Explanation:

The perimeter is given as 6 feet plus or minus 1.5 feet. Absolute - value equations are used to model situations with a tolerance or a range around a central value. Here, the central value of the perimeter is 6 feet and the tolerance is 1.5 feet. The absolute - value equation can represent the difference between the actual perimeter and the central value of 6 feet being equal to 1.5 feet.

Answer:

D. Yes. An absolute value equation will work to model the ± 1.5 ft in the measurement of the perimeter.