Which test point holds true for y − 2x ≤ 1? a. (0, 2) b. (-2, 4) c. (1, 4) d. (5, 0)

Try each one:

A) 2 - 2(0) <=? 1

0 IS less than or equal to 1, so it works.

B) 4 - 2(-2) <=? 1

4 + 4 = 8, which is not less than or equal to 1.

C)4 - 2(1) <=? 1

4 - 2 = 2, which is not less than or equal to 1.

Finally, D) 0 - 2(5) <= ? 1

0 + 10 = 10, which isn’t less than or equal to 1.

The only one that works is (A).

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

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step-by-step explanation: