Question

Indigo'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=62+6x, 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=81?The change in expected quiz score for every additional one hour students spends 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 81 hours on their homework.The number of hours a student should spend on their homework to expect a score of 81 on the quiz."multiple choice"

Answer 1

Assuming the equation that represents the relationship is y = 62 + 6x.

QUESTION A: Let's first determine the value x at y = 81.

y = 62 + 6x

62 + 6x = 81

6x = 81 - 62

6x = 19

6x = 19/6

x = 3.166... or 3.17 hours

Therefore, x is:

"The number of hours a student should spend on their homework to expect a score of 81 on the quiz."

The answer is the 4th Choice.