Describe a relationship that can be modeled by the function shown in the table, and explain how the function models the relationship. x f(x)1 44 89 1216 1625 20

y = 4·√x

Step-by-step explanation:

f(x) is defined as a product of 4 into √x

4 × √1 = 4

4 × √4 = 8

4 × √9 = 12

4 × √16 = 16

4 × √25= 20

Hence, the relationship is defined as : y is 4 times the square root of x

i.e. y = f(x) = 4·√x

f(x) is 4 times the square root of x

Step-by-step explanation:

4 × √1 = 4  

i.e. f(1)=4·√1

4 × √4 = 8  

i.e. f(4)=4·√4

4 × √9 = 12  

i.e. f(9)=4·√9

4 × √16 = 16  

i.e. f(16)=4·√16

4 × √25= 20  

i.e. f(25)=4·√25

As we can clearly see, f(x) is 4 times the square root of x

i.e.  f(x) = 4·√x

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step-by-step explanation: