Okay, so for the following question I was able to answer half of the parts. I can't figure out how to do B & D..
Newborn blue whales are approximately 24 feet long and weigh 3 tons. Young whales are nursed for 7 months, and by the time of weaning they often are 54 feet long and weigh 23 tons. Let L and W denote the length (in feet) and the weight (in tons), respectively, of a whale that is t months of age.
(a) If L and t are linearly related, express L in terms of t. (Give your answer in slope-intercept form.)
L=30t/7 + 24
(b) What is the daily increase in the length of a young whale? (Use 1 month = 30 days. Round your answer to three decimal places.)
???
(c) If W and t are linearly related, express W in terms of t. (Give your answer in slope-intercept form.)
W=20/7t + 3
(d) What is the daily increase in the weight of a young whale? (Round your answer to three decimal places.)
???
To solve question (b), we need to find the rate at which the length of a young whale increases per day.
We know that the young whales are nursed for 7 months. Since 1 month is equal to 30 days, the total number of days the young whale is nursed for is 7 months multiplied by 30 days, which is 210 days.
The initial length of a newborn blue whale is 24 feet, and by the time of weaning, it increases to 54 feet. So, the increase in length over the nursing period is 54 - 24 = 30 feet.
To find the daily increase, we divide the total increase in length by the number of days: 30 feet / 210 days = 0.142857143 feet per day.
Rounding to three decimal places, the daily increase in length of a young whale is approximately 0.143 feet per day.
To solve question (d), we will use a similar approach to the one used in question (b).
The initial weight of a newborn blue whale is 3 tons, and by the time of weaning, it increases to 23 tons. So, the increase in weight over the nursing period is 23 - 3 = 20 tons.
Using the same number of days (210), we divide the total increase in weight by the number of days: 20 tons / 210 days = 0.095238095 tons per day.
Rounding to three decimal places, the daily increase in weight of a young whale is approximately 0.095 tons per day.