Final answer:
Mariah's time equation is converted to slope-intercept form by isolating y, yielding y = -x/6 + 6. When 10 multiple-choice questions are substituted, this calculation leads to Mariah having completed 4 essay questions.
Step-by-step explanation:
The homework question presents a scenario where Mariah completed x multiple-choice questions in 1 minute each, and y essay questions in 6 minutes each, all within a total of 36 minutes. To address Part A of this scenario, one would need to form an equation representing the total time taken for all questions answered. Assuming Mariah uses t minutes for the total time, the equation would be t = x + 6y. Since the total time is given as 36 minutes, the equation becomes 36 = x + 6y.
To put this equation in slope-intercept form, we solve for y to get y = (36 - x)/6, which simplifies to y = -x/6 + 6. For Part B, if Mariah completed 10 multiple-choice questions, we can substitute x with 10 in the equation y = -x/6 + 6, resulting in y = (-10/6) + 6 = -5/3 + 18/3, which simplifies to y = 13/3, or approximately 4.33. Since Mariah cannot complete a fraction of a question, she must have completed 4 essay questions.