SOLUTION: Suppose you are writing a test for a friend whom you tutor. You want it to total 100 points. Multiple-choice questions count 1 point, fill in the blank questions count 2 points an
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Question 237847: Suppose you are writing a test for a friend whom you tutor. You want it to total 100 points. Multiple-choice questions count 1 point, fill in the blank questions count 2 points and short answer questions count 5 points. What are the possible combinations for types of test questions. Write and graph an equation for the number of each that you can use.
You can put this solution on YOUR website! Suppose you are writing a test for a friend whom you tutor.
You want it to total 100 points. Multiple-choice questions count 1 point, fill in
the blank questions count 2 points and short answer questions count 5 points.
What are the possible combinations for types of test questions.
Write and graph an equation for the number of each that you can use.
:
I assume you are the student who made the comment about this.
:
Let x = 5 pt questions
Let y = 2 pt q
Let z = 1 pt q
:
The equation:
x + 2y + 5z = 100
:
Three unknowns make it difficult
I am going make a graph assuming there are 10 ea 1 pt questions
we have
2x + 5y = 90
5y = 90 - 2x
y = 90/5 - (2/5)x
graph
y = 18 - .4x
Assume 10 1 pointers, y=5pt and x=2pt
;
If assume 20 ea 1 pointers
2x + 5y = 80
5y = 80 - 2x
y = 80/5 - (2/5)x
graph
y = 16 - .4x
Assume 20 1 pointers, y=5pt and x=2pt
;
not sure if this is what they want, but will get you thinking about it anyway
