Question
Margie spends afternoons fishing at a nearby lake. She created a dataset comparing the length of each fish in inches, x, to its weight in pounds, y, and represented the data with the equation y=0.93x−13.66 . Use the model to predict the weight of a 22.5-inch fish. Round to the nearest hundredth.(1 point) According to the model, 22.5-inch fish would weigh approximately pounds
Answers
GPT-4o mini
To predict the weight of a 22.5-inch fish using the given equation \( y = 0.93x - 13.66 \), we will substitute \( x \) with 22.5:
\[
y = 0.93(22.5) - 13.66
\]
First, calculate \( 0.93 \times 22.5 \):
\[
0.93 \times 22.5 = 20.925
\]
Now, substitute this value back into the equation:
\[
y = 20.925 - 13.66 = 7.265
\]
Finally, rounding to the nearest hundredth:
\[
y \approx 7.27
\]
Thus, according to the model, a 22.5-inch fish would weigh approximately **7.27 pounds**.
\[
y = 0.93(22.5) - 13.66
\]
First, calculate \( 0.93 \times 22.5 \):
\[
0.93 \times 22.5 = 20.925
\]
Now, substitute this value back into the equation:
\[
y = 20.925 - 13.66 = 7.265
\]
Finally, rounding to the nearest hundredth:
\[
y \approx 7.27
\]
Thus, according to the model, a 22.5-inch fish would weigh approximately **7.27 pounds**.