Question

Carlos'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=61+7.6xy=61+7.6x, where yy represents the expected quiz score and xx represents hours spent on homework that week. What is the meaning of the xx-value when y=92y=92?

Answer 1

The x-value represents the hours spent on homework when the quiz score is 92.

Step-by-step explanation:

The given equation y = 61 + 7.6x represents a linear relationship between the amount of time students spend on their homework and their weekly quiz scores. In the equation, y represents the expected quiz score and x represents the hours spent on homework that week. To find the meaning of the x-value when y = 92, we substitute y = 92 into the equation and solve for x.

92 = 61 + 7.6x

Subtracting 61 from both sides, we get:

92 - 61 = 61 + 7.6x - 61

31 = 7.6x

Dividing both sides by 7.6, we get:

x = 31/7.6

simplifying the fraction, we get:

x = 4.079