Solve. Assume the exercise describes a linear relationship. When writing a linear equation, write the equation in
slope-intercept form.
-Persons taking a 30-hour review course to prepare for a standardized exam average a score of 620 on that exam. Persons taking a 70-hour review course average a score of 789. Find a linear equation which fits this data, and Which relates score to review time. Use this equation to predict an average score for persons taking a 48-hour Review course. Round your answer to the tenths place.
A)700.3
B)688.8
C)710.1
D)696.1

Question

Quizplus · Accepted Answer

To find the linear equation, first calculate the slope (m) using the points (30, 620) and (70, 789): m = (789 - 620) / (70 - 30) = 169 / 40 = 4.225. The equation in slope-intercept form is y = 4.225x + b. Using point (30, 620) to find b: 620 = 4.225(30) + b, b = 620 - 126.75 = 493.25. The equation is y = 4.225x + 493.25. For 48 hours: y = 4.225(48) + 493.25 = 696.1.

Solve Assume the Exercise Describes a Linear Relationship