Question

Jenny runs five miles a day with an absolute error of three quarters of a mile. Which absolute value equation gives the minimum and the maximum miles that Jenny runs each day. A) |m+5|=0.75 B) |m+5|=-0.75 C) |m-5|=0.75 D) |m-5|=-0.75

Answer 1

C) |m-5|=0.75

Explanation:

|m-5|=0.75

if m≥5 m-5 = 0.75 m = 5.25 ... maximum

if m<5 -(m-5) = 0.75 -m + 5 = 0.75 m = 4.25 ... Minimum

|m-5| ≥ 0 D is not the option

Answer 2

5| ≤ ¾

Explanation:

We are told that Jenny runs five miles a day.

Also, we are told that he has an absolute error value of ¾ mile.

So, it means the true distance he ran could range from between (5 + ¾) to (5 - ¾) miles.