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Question Help An international food festival charges for admission and for each sample of food. Admission and 5 samples cost ​$9.25 Admission and 8 samples cost ​$12.25. Write a linear function rule to model the cost y for any number of samples x.

Guest Mar 8, 2017
 #1
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y=mx+b

you have TWO data points given   (5,9.25)   and  (8, 12.25)

 

Find slope, m=   (y1-y2) / (x1-x2)

                       (9.25-12.25) / (5-8) = -3/-3 = 1

 

so   y= mx + b    now becomes  y = (1) x + b    Substitute in one of the points to find  b :

 

                                                   9.25 = 5 + b       b= 4.25

so your equation is now

 

y= x + 4.25         which shows the admission is 4.25 and each sample costs 1.00 

ElectricPavlov  Mar 8, 2017

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