Question

Vivian knit a total of 6 centimeters of scarf over 3 nights. How many nights will Vivian have to spend knitting in order to knit a total of 14 centimeters of scarf? Assume the relationship is directly proportional.

a) 6 nights
b) 7 nights
c) 4 nights
d) 9 nights

Answer 1

Vivian will have to spend 7 nights knitting in order to knit a total of 14 cm of scarf.

Step-by-step explanation:

Step 1:

Find the ratio of length knitted to nights spent knitting. 6 cm / 3 nights = 2 cm/night.

Step 2:

Use the ratio to find the number of nights needed to knit 14 cm. 2 cm/night * x nights = 14 cm. Solve for x: x = 14 cm / 2 cm/night = 7 nights.

Step 3:

Therefore, Vivian will have to spend 7 nights knitting in order to knit a total of 14 cm of scarf.