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

5| ≤ ¾

Step-by-step 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.

C) |m-5|=0.75

Step-by-step 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

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.