Question 8 • GA-Advanced Algebra: Concepts and Connections CR
Sample Answer: Write the equation using slope and y-intercept in slope-intercept form, y = –275x + 3500. Then, substitute the x and y values of the point into the equation, 1850 = –275(6) + 3500. Simplify to see if both sides are equivalent. Yes, the instructor is correct because both sides are equivalent. Which did you include in your answer?Write the equation, y = –275x + 3500.Substitute x and y values into the equation, 1850 = –275(6) + 3500.Yes, he is correct because 1850 = 1850.
Answer
A
Write the equation, y = –275x + 3500.
B
Substitute x and y values into the equation, 1850 = –275(6) + 3500.
C
Yes, he is correct because 1850 = 1850.
Explanation
The sample answer includes the slope-intercept equation y = –275x + 3500, so A is included. It substitutes x = 6 and y = 1850, giving 1850 = –275(6) + 3500; simplifying the right side gives 1850. Therefore, it also includes the conclusion that the instructor is correct, so B and C are included.
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