The cost of tuition is directly proportional to the number of credits taken,
The cost of taking 16 credits would be $1048 and constant of variation is 65.5
Given :
The cost of tuition is directly proportional to the number of credits taken.
Let 't' be the cost of tuition and 'c' be the number of credits
t is directly proportional to 'c'
The equation becomes [tex]t=k(c)[/tex]
where k is the constant
11 credits cost $720.50
c=11 and cost t=720.50
Substitute the values and solve for k
[tex]t=k(c)\\720.50=k(11)\\Divide \; by \; 11\\k=65.5\\[/tex]
Constant of variation is 65.5
Now we find the cost for 16 credits
Lets plug in 16 for 'c' and find out 't'
[tex]t=k(c)\\t=65.5(16)\\t=1048[/tex]
The cost of taking 16 credits would be $1048 and constant of variation is 65.5
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