Question

harper is knitting a scarf for her cousins birthday. she plans to knit every night, making the scarf 5 centimeters longer each night. write an equation that shows the relationship between the number of nights harper spends knitting, x, and the length of the scarf in centimeters, y. y =

Explanation:

Step1: Identify the relationship type

It's a linear - relationship problem.

Step2: Determine the slope

Since the scarf gets 5 cm longer per night, the slope $m = 5$.

Step3: Determine the y - intercept

Assume the initial length is 0 (before any knitting), so the y - intercept $b = 0$.

Step4: Use the slope - intercept form

The slope - intercept form of a linear equation is $y=mx + b$. Substituting $m = 5$ and $b = 0$ gives $y = 5x$.

Answer:

$y = 5x$