Question

yesenia knits 21 centimeters of a scarf every week. what Is yesenia's unit rate (cm per day)for her knitting?After 18 days of knitting, how many centimeters long will the scarf be?write an equation and solve.

Answer 1

3cm per day

54cm long

Step-by-step explanation

Let x be yesenia's unit rate

If yesenia knits 21 centimeters of a scarf every week, then;

21 cm = 1 week (7 days)

To determine the amount for her knitting in a day, we can write;

x = 1 day

Divide both expressions

21/x = 7/1

Cross multiply

7 * x = 21

7x = 21

x = 21/7

x = 3

hence yesenia's unit rate is 3cm per day

- Recall that;

21 cm = 1 week (7 days)

Let y be the length of the scaf sfter 18 days, To get the length of the scarf, we can write;

y = 18days

Divide both resulting expressions;

21/y = 7/18

7y = 21 * 18

y = 3 * 18

y = 54cm

Hence the scarf will be 54cm longy