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Complete this assessment to review what you've learned. It will not count toward your grade.%0D%0A2 of 52 of 5 Items%0D%0A%0D%0AQuestion%0D%0AUse the image to answer the question.%0D%0A%0D%0A%0D%0AA spring has a length of 12 inches when a 2-pound weight is attached, and a length of 18 inches when a 5-pound weight is attached. Use rate of change to find the length of the spring when no weights are attached.%0D%0A%0D%0A(1 point)%0D%0A6 inches

3 answers

To solve this problem, we can use the concept of rate of change. Rate of change is a measure of how one variable changes in relation to another variable.

In this case, we are given the length of the spring when different weights are attached. We can assume that the relationship between the weight and the length of the spring is linear.

To find the length of the spring when no weights are attached, we can set up a proportion using the given information:

(Length when 2-pound weight is attached) / 2 pounds = (Length when 5-pound weight is attached) / 5 pounds

Let's substitute the given values into the proportion:

12 inches / 2 pounds = 18 inches / 5 pounds

Now, we can cross-multiply and solve for the length of the spring when no weights are attached:

2 * 18 inches = 5 * 12 inches

36 inches = 60 inches

Therefore, the length of the spring when no weights are attached is 6 inches.
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I felt excited and nervous during my first Fitness Gram assessment, and learned how to improve my physical fitness.