Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

The scatterplot shows average 2014 Major League
Baseball (MLB) salaries, 
y, in millions of dollars, for players 
x years of age. Which of the following quadratic equations best models the relationship between a MLB player's age and his salary?
Choose 1 answer:
(A) 
y=0.1(x-23.1)^(2)+0.78
(B) 
y=0.1(x+23.1)^(2)+0.78
(c) 
y=2(x-23.1)^(2)+0.78
(D) 
y=2(x+23.1)^(2)+0.78

The scatterplot shows average 20142014 Major League\newlineBaseball (MLB) salaries, y y , in millions of dollars, for players x x years of age. Which of the following quadratic equations best models the relationship between a MLB player's age and his salary?\newlineChoose 11 answer:\newline(A) y=0.1(x23.1)2+0.78 y=0.1(x-23.1)^{2}+0.78 \newline(B) y=0.1(x+23.1)2+0.78 y=0.1(x+23.1)^{2}+0.78 \newline(c) y=2(x23.1)2+0.78 y=2(x-23.1)^{2}+0.78 \newline(D) y=2(x+23.1)2+0.78 y=2(x+23.1)^{2}+0.78

Full solution

Q. The scatterplot shows average 20142014 Major League\newlineBaseball (MLB) salaries, y y , in millions of dollars, for players x x years of age. Which of the following quadratic equations best models the relationship between a MLB player's age and his salary?\newlineChoose 11 answer:\newline(A) y=0.1(x23.1)2+0.78 y=0.1(x-23.1)^{2}+0.78 \newline(B) y=0.1(x+23.1)2+0.78 y=0.1(x+23.1)^{2}+0.78 \newline(c) y=2(x23.1)2+0.78 y=2(x-23.1)^{2}+0.78 \newline(D) y=2(x+23.1)2+0.78 y=2(x+23.1)^{2}+0.78
  1. Analyze options: Analyze the given options to determine which quadratic equation best models the relationship between a player's age and his salary.
  2. Identify vertex form: Identify the vertex form of each option to determine the age at which the salary peaks.
  3. Consider practical implications: Consider the practical implications of the vertex.
  4. Compare coefficients: Compare the coefficients of the quadratic term in the remaining options (A) and (C).
  5. Choose best model: Choose the best model based on the coefficient that provides a realistic representation of salary changes.

More problems from Ratio and Quadratic equation