addison'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=55+7.6xy=55+7.6x, where yy represents the expected quiz score and x represents hours spent on homework that week. what is the meaning of the xx-value when y=94y=94?

Question

16-12-2022
Mathematics

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addison'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=55+7.6xy=55+7.6x, where yy represents the expected quiz score and x represents hours spent on homework that week. what is the meaning of the xx-value when y=94y=94?

Answer :

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akposevictor akposevictor · Answer 1 · 2022-12-22T05:57:16-05:00

According to the linear relationship between both variables, the meaning of the x-value when y = 94 is: approximately 5.1 hours is spent on homework to get a weekly score of 94.

How to Interpret A Linear Relationship Between Two Variables?

The two variables in this problem are:

x which represents the amount of time.
y which represents the weekly quiz score.

We are also given the equation that represents the linear relationship between these two variables as y = 55 + 7.6x. This implies that the weekly quiz score of the students is dependent on the amount of time students spend on their homework.

Therefore, to find the meaning of the x-value when y = 94, it means we have to find how many hours (x) the students spends to earn a weekly quiz score of 94, y.

Substitute y = 94 into the equation y = 55 + 7.6x:

94 = 55 + 7.6x

94 - 55 = 7.6x

39 = 7.6x

39/7.6 = x

x ≈ 5.1

This means the students spend approximately 5.1 hours to get a weekly score of 94.

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