Sophie's math teacher plots student grades on their weekly quizzes against the number of hours they say they study on the pair of coordinate axes and then draws
the line of best fit. Based on the line of best fit, what quiz score should someone who
studied 5 hours expect?

Explanation:

The line of best fit here is y = 6x+62

We started at (0,62) and go up 6 units and to the right 1 unit each time we move along this line.

If we tried something like x = 1, then,

y = 6x+62

y = 6*1+62

y = 6+62

y = 68

Meaning that someone spending 1 hour per week doing homework would lead to an estimated score of 68. This matches what the graph shows, and it helps confirm we have the correct regression line equation.

Let's now plug in x = 5

y = 6x+62

y = 6*5+62

y = 30+62

y = 92

Someone doing 5 hours of homework per week is estimated to get a score of about 92.

109 is the nearest whole number/final answer! : )

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3