Bonnie knit a total of 468 centimetres of scarf over 26 nights. After 34 nights of knitting, how many centimetres of scarf will Bonnie have knit in total? Assume the relationship is directly proportional.
Question
Bonnie knit a total of 468 centimetres of scarf over 26 nights. After 34 nights of knitting, how many centimetres of scarf will Bonnie have knit in total? Assume the relationship is directly proportional.
Solution
First, we need to find out how many centimeters Bonnie knits each night. We do this by dividing the total amount she has knit so far (468 cm) by the number of nights she has been knitting (26 nights).
468 cm ÷ 26 nights = 18 cm/night
This means Bonnie knits 18 centimeters of scarf each night.
Next, we need to find out how many centimeters Bonnie will have knit after 34 nights. We do this by multiplying the number of nights (34 nights) by the amount she knits each night (18 cm/night).
34 nights × 18 cm/night = 612 cm
So, Bonnie will have knit 612 centimeters of scarf after 34 nights.
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