To calculate the rate of change of the weight of the baby elephant from interval 1 to 2 (which corresponds to t = 1 week and t = 2 weeks), we use the formula for the average rate of change, which is:
\[ \text{Average Rate of Change} = \frac{w(t_2) - w(t_1)}{t_2 - t_1} \]
In this case, \(t_1 = 1\) and \(t_2 = 2\).
From the table:
- \(w(1) = 231\) lbs
- \(w(2) = 252\) lbs
Plugging these values into the formula:
\[ \text{Average Rate of Change} = \frac{252 - 231}{2 - 1} = \frac{21}{1} = 21 \]
Thus, the correct response that shows how to calculate the rate of change for interval 1 to 2 is:
252−231/2−1≈21
(the fraction with numerator 252 minus 231 and denominator 2 minus 1 almost equal to 21)
1 answer