Math homework help

Question

for a resident in a particular state the total cost of tutiton at the state college varies directly as the number of credit hours (units) a student takes. for the academic year 2006-2007 the total cost of 14.credit hours is $1204 what is the total.cost of 18 credit hours

Answer 1

WHAT IS THE COST OF 18 CREDITS?

Let C = cost of 18 hours

Given that 14 hours costs $1,204.

In mathematical terms, this is the RATIO or FRACTION 14

---------

1,204

The RATIO or FRACTION for 18 hours with a cost of C 18

--------------

C

Since these RATIO/FRACTIONS are the same or equal,

we can now write our equation:

14 18

---------- = ----------

1,204 C

We can reduce or simplify the fraction 14/1,204 by dividing both the numerator and denominator by 14.

1 18

----------- = ---------

86 C

And, using CROSS MULTIPLICATION:

(1)(C) = (86)(18)

C = (86)(18)

C = 1,548

ANSWER: $1,548 FOR 18 HOURS

CHECKING:

IS THE RATIO/FRACTION 14/1204 EQUAL TO 18/1548 ?

Yes.