SOLUTION: An international food festival charges admission and for each sample of food. Admission and 4 samples of food cost $6.25. Admission and 7 samples of food cost $9.25. Write a linear

Algebra ->  Functions -> SOLUTION: An international food festival charges admission and for each sample of food. Admission and 4 samples of food cost $6.25. Admission and 7 samples of food cost $9.25. Write a linear      Log On


   

Question 1065796: An international food festival charges admission and for each sample of food. Admission and 4 samples of food cost $6.25. Admission and 7 samples of food cost $9.25. Write a linear function rule to model the cost y for any number of samples x.
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
y, the cost

y=mx%2Bb

system%28m%2A4%2Bb=6.25%2Cm%2A7%2Bb=9.25%29

system%284m%2Bb=6.25%2C7m%2Bb=9.25%29

Elimination Method to continue,
Multiply first equation by 7 and second equation by 4;
system%2828m%2B7b=43.75%2C28m%2B4b=37%29

3b=6.75
highlight%28b=2.25%29-------Admission price

Price for a food item:
(Using substitution but could also continue with Elimination instead)
4m%2Bb=6.25
4m=6.25-b
4m=6.25-2.25
highlight%28m=1%29------One dollar per item

highlight%28highlight%28y=x%2B2.25%29%29