SOLUTION: This is from a worksheet from the instructor: Write the following rule as a formula using function notation: Tuition cost in dollars is sixty-five times the number of credit hours.

Question 127228: This is from a worksheet from the instructor: Write the following rule as a formula using function notation: Tuition cost in dollars is sixty-five times the number of credit hours.

Found 2 solutions by stanbon, bucky:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
T(x)= 65x where x is the number of credit hours and T is tuition cost.
Cheers,
Stan H.
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
First, let T represent the tuition cost that you are going to pay and C represent the credit
hours that you schedule.
.
Then ask yourself how you would compute your tuition based on the number of credit hours that
you sign up for. If you take only a 1 credit hour course, how much would you pay in tuition?
The answer would be $65 would it not? How about if you sign up for only a 3 credit hour course?
You would then have to pay tuition of $195. How about if you are a full time student and
you carry 16 credit hours? How much would you expect to pay in tuition?
.
Maybe you can see from this that you are computing your tuition bill by multiplying
the number of credit hours you plan to take by the $65 fee for each credit hour. In other
words you have a tuition bill of $65 times C where C is the total number of credit hours.
In equation form this is:
.
T = 65*C
.
Since T depends on the number of credit hours, we say that T is a function of C or just
that T is equal to f(C). Therefore in functional notation we can write:
.
f(C) = 65*C
.
Or if you care to identify the left side of this equation as relating to tuition, you
could more appropriately write it as:
.
T(C) = 65*C
.
which makes it a little clearer to remember as being "the tuition as a function of C,
the credit hours, is equal to 65 times the number of credit hours" with the answer to
be expressed in dollars.
.
Hope this helps you to understand the problem a little better.
.

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