harper is knitting a scarf for her cousins birthday. she plans to knit every night, making the scarf 5…

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 =

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 =

Answer

Explanation:

Step1: Analyze the relationship

The length of the scarf increases by 5 centimeters each night. This is a linear relationship of the form (y = mx + b). Here, the initial length (when (x = 0)) is assumed to be (0) (since no length is mentioned before she starts knitting), and the rate of change (m) is (5) (centimeters per night).

Step2: Write the equation

Using the slope - intercept form (y=mx + b), with (m = 5) and (b = 0), we get (y=5x).

Answer:

(y = 5x)