Marcy knit a total of 35 centimetres of scarf over 7 nights. After 17 nights of knitting, how many centimetres of scarf will Marcy have knit in total? Assume the relationship is directly proportional.
Question
Marcy knit a total of 35 centimetres of scarf over 7 nights. After 17 nights of knitting, how many centimetres of scarf will Marcy have knit in total? Assume the relationship is directly proportional.
Solution
Step 1: Determine the rate of knitting per night. Marcy knits 35 centimetres of scarf over 7 nights. So, the rate is 35 cm / 7 nights = 5 cm/night.
Step 2: Use this rate to find out how much Marcy will knit in 17 nights. Multiply the rate by the number of nights: 5 cm/night * 17 nights = 85 cm.
So, Marcy will have knit 85 centimetres of scarf in total after 17 nights.
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