the stretch of a spring in millimeters is proportional to the weight in grams attached to the end of the spring. Find the unit rate.

Answer 1

To find the unit rate when the stretch of a spring is proportional to the weight attached to it, we can express the relationship mathematically. If we let $S$ represent the stretch of the spring in millimeters and $W$ represent the weight attached to the spring in grams, then we can express the relationship as:

$$S=kW$$

where $k$ is the constant of proportionality (the unit rate).

To find the unit rate $k$, you would typically need specific values for $S$ and $W$. If you know a specific stretch of the spring for a given weight, you can calculate the unit rate as follows:

$$k=\frac{S}{W}$$

This will give you the stretch per gram, expressed in millimeters per gram.

For example, if a weight of 200 grams stretches the spring 50 millimeters, the calculation for the unit rate would be:

$$k=\frac{50\text{ mm}}{200\text{ grams}}=0.25\text{ mm/gram}$$

If you provide specific values for the stretch and the weight, I can help calculate the exact unit rate.