Sara wants to find the input value that produces the same output for the functions represented by the tables.

what is the input value that produces the same output value in both charts?

a. –2
b. –1
c. 1
d. 2

Hence,  the input value that produces the same output for the functions represented by the tables is:

x=2

Step-by-step explanation:

We are given a function f(x) and  g(x) as:

and

Clearly the function g(x) and f(x) are linear function.

We have to find such input value that gives the same output value for the function.

i.e. we have to find x such that:

g(x)=f(x)

i.e. -0.5x+2=2x-3

⇒ 2x+0.5x=2+3

⇒ 2.5x=5

⇒ x=5/2.5

⇒ x=2

Hence,  the input value that produces the same output for the functions represented by the tables is:

x=2

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