Question

When calibrating a spring scale, you need to know how far the spring stretches for various weights. Hooke's law states that the length a spring stretches is proportional to the weigh attached to it. A model for one scale is l = 0.5w + 3 where l is the total length (in inches) of the stretched spring and w is thew weight (in pounds) of the object.

Answer 1

a. Find the inverse of the given model.

Answer 2

You need a function that finds weight in terms of length\[l=0.5w+3 \rightarrow 0.5w=l-3 \rightarrow w=2l-6\]

Answer 3

How do I find the inverse?

Answer 4

Sir

Answer 5

This is precisely what I have done. You have a function that gives you length in terms of weight. The inverse will give you weight in terms of length

Answer 6

do you follow?

Answer 7

Ohhhh

Answer 8

Then we divide 0.5

Answer 9

both sides...

Answer 10

we get w=2L-6

Answer 11

Awesome!!! Thanks Carlos!

Answer 12

you are welcome