The ratio of students who prefer coke to Pepsi is 5 out of 7. If 84 students were surveyed, how many students prefer Pepsi?
2 answers:
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Part 1
We are given
. This can be rewritten as 
.
Therefore, a=1, b=-18, c=0.
Using the quadratic formula
The values of x are
Part 2
Since the values of y change drastically for every equal interval of x, the function cannot be linear. Therefore, the kind of function that best suits the given pairs is a quadratic function.
Part 3.
The first equation is
.
The second equation is
.
We have
Factoring, we have
Equating both factors to zero.
When the value of x is 6, the value of y is
When the value of x is -3, the value of y is
Therefore, the solutions are (6,38) or (-3,11)
We are given
Therefore, a=1, b=-18, c=0.
Using the quadratic formula
The values of x are
Part 2
Since the values of y change drastically for every equal interval of x, the function cannot be linear. Therefore, the kind of function that best suits the given pairs is a quadratic function.
Part 3.
The first equation is
The second equation is
We have
Factoring, we have
Equating both factors to zero.
When the value of x is 6, the value of y is
When the value of x is -3, the value of y is
Therefore, the solutions are (6,38) or (-3,11)