Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

When Zamzu Electronics released its first video game, the game's value initially decreased. Once the game became a collector's item, however, its value started to increase. The value of the video game in dollars can be modeled by the expression 0.5t26t+320.5t^2 - 6t + 32, where tt is the time in years after it was released.\newlineWhat does the number 3232 represent in the expression?\newlineChoices:\newline(A)the video game's value in dollars when it was worth the least\newline(B)the time in years from when the video game was released until its value was the same as when it was first released\newline(C)the video game's value in dollars when it was first released\newline(D)the time in years from when the video game was released until its value was the least\newline

Full solution

Q. When Zamzu Electronics released its first video game, the game's value initially decreased. Once the game became a collector's item, however, its value started to increase. The value of the video game in dollars can be modeled by the expression 0.5t26t+320.5t^2 - 6t + 32, where tt is the time in years after it was released.\newlineWhat does the number 3232 represent in the expression?\newlineChoices:\newline(A)the video game's value in dollars when it was worth the least\newline(B)the time in years from when the video game was released until its value was the same as when it was first released\newline(C)the video game's value in dollars when it was first released\newline(D)the time in years from when the video game was released until its value was the least\newline
  1. Analyze Expression: Analyze the expression for the video game's value: 0.5t26t+320.5t^2 - 6t + 32, where tt represents the time in years after release.
  2. Identify Constant Term: Identify the constant term in the quadratic expression, which is 3232. This term represents the value of the video game when t=0t = 0, i.e., at the time of release.
  3. Compare with Choices: Compare the constant term with the provided choices to determine its significance in the context of the problem.

More problems from Interpret parts of quadratic expressions: word problems