SOLUTION: An international food festival charges for admission and for each sample of food. Admission and 5 samples cost ​$9.75. Admission and 8 samples cost ​$12.75. Write a linear func

Algebra ->  Functions -> SOLUTION: An international food festival charges for admission and for each sample of food. Admission and 5 samples cost ​$9.75. Admission and 8 samples cost ​$12.75. Write a linear func      Log On


   

Question 1132501: An international food festival charges for admission and for each sample of food. Admission and 5 samples cost ​$9.75. Admission and 8 samples cost ​$12.75. Write a linear function rule to model the cost y for any number of samples x.
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The three additional samples cost an additional $3, so the cost of each sample is $1.

That makes $5 for 5 samples; so if admission plus 5 samples costs $9.75, then the cost of admission is $9.75-$5 = $4.75.

Then a function rule for the cost of admission and x samples is

c%28x%29+=+4.75%2Bx