Vaughn went fishing and caught an Atlantic Ocean Rockfish that was 21 cm long. He found the following data to estimate the weight of the fish.Use the graph and trendline, 𝑦=0.9382𝑥2−17.167𝑥+84.652 to estimate the weight of Vaughn's fish in grams.(Round your answer to the nearest whole gram)
Question
Vaughn went fishing and caught an Atlantic Ocean Rockfish that was 21 cm long. He found the following data to estimate the weight of the fish.Use the graph and trendline, 𝑦=0.9382𝑥2−17.167𝑥+84.652 to estimate the weight of Vaughn's fish in grams.(Round your answer to the nearest whole gram)
Solution 1
To estimate the weight of Vaughn's fish, we need to substitute the length of the fish (21 cm) into the equation of the trendline. The equation is given as 𝑦=0.9382𝑥²−17.167𝑥+84.652, where y is the weight of the fish in grams and x is the length of the fish in cm.
Step 1: Substitute x = 21 into the equation:
y = 0.9382*(21)² - 17.167*21 + 84.652
Step 2: Calculate the value:
y = 0.9382*(441) - 360.507 + 84.652 y = 413.8022 - 360.507 + 84.652 y = 137.9472
So, the estimated weight of Vaughn's fish is approximately 138 grams when rounded to the nearest whole gram.
Solution 2
To estimate the weight of Vaughn's fish, we need to substitute the length of the fish (21 cm) into the equation of the trendline. The equation is y = 0.9382x^2 - 17.167x + 84.652, where y is the weight of the fish in grams and x is the length of the fish in cm.
Step 1: Substitute x = 21 into the equation:
y = 0.9382*(21)^2 - 17.167*21 + 84.652
Step 2: Calculate the value:
y = 0.9382*(441) - 360.507 + 84.652 y = 413.8022 - 360.507 + 84.652 y = 137.9472
So, the estimated weight of Vaughn's fish is approximately 138 grams (rounded to the nearest whole gram).
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