Question

Grace made tables of values to solve a system of equations. First, she found that the x-value of the solution was between 0 and 1, and then she found that it was between 0.5 and 1. Next, she made this table.

Answer 1

Answer: C

Explanation:

Answer 2

OPtion C is correct answer.

Explanation:

Given that there is a system of equations as

y =-4x+3 and y =3x+1

Table is prepared with side by side values of y for a given x

From the table we are to find the solution of the system

On analysing the table we find that the difference between two y's is

0.5, -0.2, -0.9, -1.6, -2.3,-3

Hence we select the one which shows minimum difference i.e. -0.2

For this, x = 0.6

When x =0.6, y shows two values as 0.6 and 0.8

So we approximate y value as average of these two i.e. 0.7

So solution is

(0.6, 0.7)