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Jose's math teacher finds that there's roughly a linear relationship between the amount of time students spend on their homework and their weekly quiz scores. This relationship can be represented by the equation y=67+6.6 x, where y represents the expected quiz score and x represents hours spent on homework that week. What is the meaning of the y-value when x=1 ? A student's expected quiz score if they spent 73.6 hours on their homework. The change in expected quiz score for every additional one hour students spend on their homework. A student's expected quiz score if they spent 1 hour on their homework. A student's expected quiz score if they spent no time on their homework.

Jose's math teacher finds that there's roughly a linear relationship between the amount of time students spend on their homework and their weekly quiz scores. This relationship can be represented by the equation y=67+6.6x y=67+6.6 x , where y y represents the expected quiz score and x x represents hours spent on homework that week. What is the meaning of the y y -value when x=1 x=1 ?\newlineA student's expected quiz score if they spent 7373.66 hours on their homework.\newlineThe change in expected quiz score for every additional one hour students spend on their homework.\newlineA student's expected quiz score if they spent 11 hour on their homework.\newlineA student's expected quiz score if they spent no time on their homework.

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Q. Jose's math teacher finds that there's roughly a linear relationship between the amount of time students spend on their homework and their weekly quiz scores. This relationship can be represented by the equation y=67+6.6x y=67+6.6 x , where y y represents the expected quiz score and x x represents hours spent on homework that week. What is the meaning of the y y -value when x=1 x=1 ?\newlineA student's expected quiz score if they spent 7373.66 hours on their homework.\newlineThe change in expected quiz score for every additional one hour students spend on their homework.\newlineA student's expected quiz score if they spent 11 hour on their homework.\newlineA student's expected quiz score if they spent no time on their homework.
  1. Understand the equation: Understand the equation.\newlineThe equation y=67+6.6xy=67+6.6x represents a linear relationship between the time spent on homework (xx) and the expected quiz score (yy). The number 6767 is the base score, which is the expected score if no time is spent on homework. The coefficient 6.66.6 represents the increase in the expected quiz score for each additional hour spent on homework.
  2. Substitute x=1x=1: Substitute x=1x=1 into the equation to find the meaning of yy when x=1x=1. Using the equation y=67+6.6xy=67+6.6x, we substitute xx with 11 to find the expected quiz score for a student who spends 11 hour on homework. So, y=67+6.6(1)y = 67 + 6.6(1).
  3. Calculate the value of y: Calculate the value of y when x=1x=1.\newlineNow we perform the calculation: y=67+6.6(1)=67+6.6=73.6y = 67 + 6.6(1) = 67 + 6.6 = 73.6.
  4. Interpret the result: Interpret the result.\newlineThe value of yy when x=1x=1 is 73.673.6. This means that a student's expected quiz score is 73.673.6 if they spend 11 hour on their homework.

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