Answered

Get the best answers to your questions with the help of IDNLearn.com's experts. Discover detailed and accurate answers to your questions from our knowledgeable and dedicated community members.

julia is taking a test with multiple choice and true/false question the test has twentg question altogether . julia gets five points for correct multiple choice answer nd lose one points for each incorrect true/fales answers . she earned 76 points in the test how many multilpe choice question and true/fales question are one the test ? .
let ___ =________
let ___=________
system of equestion :




solution :

plzz help fastt :)

Sagot :

Apologiabiologyidn
x=number of corect
y=number of incorrect
5 points for each correct so 5x
-1 point for each incorrect so -y

5x-y=76
solve for x and y

I like putting it into slope intercep tofrm which is y=mx+b
add y to both sides
5x=76+y
subtract 76 from both sides
5x-75=y
y=5x-76

subsitute values for x and get values for y
remember, that julia cannot answer a negative number of incorrect questions so y must be greater than or equal to 0

so solve for minimum
0<5x-76
add 76 to both sides
76<5x
divide by 5
15.2<x
you cannot answer a fraction of a correct quesiton so round up
16 is the minumum number of queswtions correctlyh answered


so
x>16

subsitute 16 for x
y=5(16)-76
y=80-76
y=4

as we subsitute more numbers over 16, we get these points
so (x,y) 
(16,4)
(17,9)
(18,14)
(19,19)
(20,24)
(21,29)
(22,34)
(23,39)
x=correct answer
y=wrong answers
We appreciate your contributions to this forum. Don't forget to check back for the latest answers. Keep asking, answering, and sharing useful information. Discover insightful answers at IDNLearn.com. We appreciate your visit and look forward to assisting you again.