Question
The pressure applied to a leverage bar varies inversely as the distance from the object. If 150 pounds is required for a distance of 10 inches from the object, how much pressure is needed for a distance of 3 inches? 450 pounds 500 pounds 45 pounds 5 pounds
Answer
4.3
(134 Votes)
Honor
Master · Tutor for 5 years
Answer
### 500 pounds
Explanation
## Step1: Define the inverse relationship### The pressure
and distance
have an inverse relationship, defined as
, where
is the constant.## Step2: Calculate the constant
### Given
pounds and
inches, we substitute these values into the equation:
. ## Step3: Solve for new pressure at 3 inches### Using the constant
and new distance
inches, we solve for
: