Use the image to answer the question.

Question

A graph with x-axis and y-axis labeled from 0 to 30 in increments of 2. Three points are plotted with a line connecting them.
A graph with x-axis and y-axis labeled from 0 to 30 in increments of 2. Points are plotted at left parenthesis 2 comma 10 right parenthesis, left parenthesis 3 comma 15 right parenthesis, and left parenthesis 6 comma 30 right parenthesis. A line is drawn connecting the three points.

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.

(1 point)
mm per gram
Remaining Attempts : 3
Skip to navigation

page 13 of 14

Answer 1

To find the unit rate of stretch of the spring in millimeters per gram, we can analyze the points plotted on the graph:

1. Point (2, 10): This indicates that 2 grams of weight causes a stretch of 10 mm.
2. Point (3, 15): This indicates that 3 grams of weight causes a stretch of 15 mm.
3. Point (6, 30): This indicates that 6 grams of weight causes a stretch of 30 mm.

Now, we can calculate the unit rate (stretch in mm per gram) from any of the points:

• For the point (2, 10): \[ \text{Unit Rate} = \frac{10 \text{ mm}}{2 \text{ g}} = 5 \text{ mm/g} \]

• For the point (3, 15): \[ \text{Unit Rate} = \frac{15 \text{ mm}}{3 \text{ g}} = 5 \text{ mm/g} \]

• For the point (6, 30): \[ \text{Unit Rate} = \frac{30 \text{ mm}}{6 \text{ g}} = 5 \text{ mm/g} \]

In all cases, the unit rate is consistent.

Thus, the unit rate of spring stretch is 5 mm per gram.