Question

The weights of Sarus crane chicks and hooded crane chicks H (both in grams) during the 10 days following hatching can be modeled by the functions S = –0.122t3 + 3.49t2 – 14.6t + 136 H = –0.115t3 + 3.71t2 – 20.6t + 124 where t is the number of days after hatching. According to the models, what is the difference in weight between 5-day-old Sarus crane chicks and hooded crane chicks? Round your answer to the nearest thousandth, if necessary.

Answer 1

• 35.875 grams

Explanation:

Given

Functions:

• S(t) = –0.122t³ + 3.49t² – 14.6t + 136
• H(t) = –0.115t³ + 3.71t² – 20.6t + 124

Finding the difference between S(5) and H(5)

• S(5) - H(5) =
• –0.122t³ + 3.49t² – 14.6t + 136 - (–0.115t³ + 3.71t² – 20.6t + 124) =
• (-0.122 + 0.115)*5³ + (3.49 -3.7)*5² - (14.6 -20.6)*5 + 136 - 124 = 35.875

Answer is 35.875 grams