Question

Anand'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 = 7.2x + 55, where y represents the expected quiz score and x represents hours spent on homework that week. What is the meaning of the x-value when y = 77?

Answer 1

The x-value represents the number of hours spent on homework that week. When y = 77, the student is expected to spend approximately 3.06 hours on homework that week.

Step-by-step explanation:

The x-value represents the number of hours spent on homework that week. In this case, we are given that when y = 77, so we need to find the corresponding x-value. We can substitute y = 77 into the equation and solve for x:

y = 7.2x + 55

77 = 7.2x + 55

Subtracting 55 from both sides:

22 = 7.2x

Finally, dividing both sides by 7.2:

x ≈ 3.06

Therefore, the meaning of the x-value when y = 77 is that the student is expected to spend approximately 3.06 hours on homework that week.