Question 219561
a.) If L and t are linearly related, express L in terms of t.
L=mt+b
53=m(7)+24
29/7=m
So far so good.
{{{red(ERROR)}}} L=(29/7)m+24
Actually this should be
L=(29/7)t+24<br>
b.) What is the daily increase in the length of a young whale? (Use 1 month= 30 days)
In part (a) you figured out the slope of the linear relationship between length and age. The slope represents how much the length changes per unit increase in the age. Since the time, t, is measured in months the slope is how many feet the length increase for each month. So the whale increases in length 29/7 feet per month. To find out what this is per day (and since we're told to use 1 month = 30 days), just divide by 30. The daily increase in length = {{{(29/7)/30 = (29/7)(1/30) = 29/210}}} feet per day.<br>
c.) IF W and t are linearly related, express W in terms of t.
W=mt+c
23=m(7)+3
20/7=m
{{{red(ERROR)}}} W=(20/7)m+3
Again, this should be
W=(20/7)t+3<br>

d.) What is the daily increase in the weight of a young whale?
With the same logic as part (b), the daily increase would be {{{(20/7)/30 = (20/7)(1/30) = 20/210 = 2/21}}} tons per day.