Question

of hours they say they study on the pair of coordinate axes and then draws the best fit. based on the line of best fit, how much time should someone study to quiz score of 98?

Explanation:

Step1: Calculate slope of best fit

Slope $m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{91 - 84}{4 - 3} = 7$

Step2: Find line equation (y=mx+b)

Use point $(3,84)$: $84 = 7(3) + b$
$84 = 21 + b$
$b = 84 - 21 = 63$
Equation: $y = 7x + 63$

Step3: Solve for x when y=98

Substitute $y=98$: $98 = 7x + 63$
$7x = 98 - 63$
$7x = 35$
$x = \frac{35}{7} = 5$

Answer:

5 hours