Question

To calculate: To write the given statements (a) and (b) as functions f(x) and g(x)respectively. Professor Harsh gave a test to his college algebra cla

Upper level algebra
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asked 2021-03-05
To calculate: To write the given statements (a) and (b) as functions f(x) and g(x)respectively.
Professor Harsh gave a test to his college algebra class and nobody got more than 80 points (out of 100) on the test.
One problem worth 8 points had insufficient data, so nobody could solve that problem.
The professor adjusted the grades for the class by
a. Increasing everyone's score by 10% and
b. Giving everyone 8 bonus points
c. x represents the original score of a student

Expert Answers (1)

2021-03-06
Calculation:
x represents the original score of a student.
10% of x is given by,
\(\frac{10}{100}\times x=0.1x\)
So when the score is increased by 10%, the new score is given by,
x+0.1x = 1.1x
Therefore,
The function that represents the score increased by 10% is given by f(x) = 1.lx
When the original score is increased by 8 points,
The new score is given by,
x+8
Therefore,
The function that represents the score increased by 8 points is given by g(x) =x + 8.
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