What is the equation of the line (the line starting at (0,10) and the line ending at (15,95)) for the line of best fit in the form of? (Identify two points on your line and show how to find the slope.)
Using your equation what is the least amount of questions that a student would need to answer correctly on the practice to earn at least a 75% on the test? For this question, don't give me the answer in a percentage. I need to know HOW many questions would need to be correct for them to earn a 75%
To find the equation of the line of best fit, we first need to find the slope. Let's use the points (0, 10) and (15, 95).
Slope (m) = (y2 - y1) / (x2 - x1)
Slope (m) = (95 - 10) / (15 - 0)
Slope (m) = 85 / 15
Slope (m) = 17/3
Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
y - 10 = (17/3)(x - 0)
y - 10 = 17x/3
3y - 30 = 17x
3y = 17x + 30
y = (17/3)x + 10
To find out how many questions a student needs to answer correctly on the practice test to earn at least a 75% on the test, we set up the equation:
(questions correct) / (total questions) = 0.75
Let's say the student needs to answer x questions correctly out of a total of 100 questions:
x / 100 = 0.75
x = 0.75 * 100
x = 75
Therefore, the student needs to answer at least 75 questions correctly to earn at least a 75% on the test.