Question

Use the tables to answer the question.

The table shows the relationship between the input values and the corresponding output values for given function.
x 3x−5

0 −5

1 −2

2 1
3 4
4 7
The table displays the input-output relationship for a different function, including an unknown value.
x −3x+7

−2
13
−1
10
0 7
1 4
k 1
What value of k would make a solution to the equation 3x−5=−3x+7
?

(1 point)
The value of k that would make a solution is
.

Answer 1

2

Because solving 3x−5 = −3x+7 gives 6x = 12 so x = 2, and the second table entry k must be 2 to produce output 1 (−3(2)+7 = 1).