Question

The table shows the cost y (in dollars) of x ounces of cereal. a. what is a missing y-value that makes the table represent a nonlinear function? b

Answer 1

Any value other than 1.5 will represent a non-linear function

Step-by-step explanation:

y = ax  + b   a linear function

2.5  = 12a  + b

3.5  = 16a  + b

=> 1 = 4a

=> a = 1/4

=> 2.5 = 12(1/4) + b

=> 2.5 = 3 + b

=> b = -0.5

y = x/4  - 0.5

x = 8

=> y = 8/4 - 0.5

=> y = 2 - 0.5

=> y = 1.5

Missing Value of y = 1.5 represent a liear function

Linear function   y  = x/4 - 0.5     =>   4y = x  - 2  => x - 4y  = 2

any value other than 1.5 will represent a non-linear function

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