Question

Jen spent her afternoon finishing a scarf she is knitting for her friend. The length of scarf Jen had left to finish decreased as she knit.
This situation can be modeled as a linear relationship. Use the points (1, 5) and (2, 6) to find the answer.

Complete the statement that describes the situation.
The scale's spring is ___ inches long before Rob adds any weight. The length of the spring increases by ___ for every pound Rob adds.

Answer 1

The spring is 4 inches long before Rob adds any weight. The length of the spring increases by 1 inch for every pound Rob adds.

(Using points (1,5) and (2,6): slope = (6−5)/(2−1)=1, so y = x + b and 5 = 1 + b ⇒ b = 4.)