Question

Let and y be whole-number variables such that y is the greatest whole number less than or equal to the table below lists some valuesfor and y.xy79411 513 6Which of the following statements is true?A. y changes by a constant amount when r changes by 2.OB. z changes by a constant amount when y changes by 1.C. y changes by a constant amount when changes by 1.D. 2 changes by a constant amount when y changes by 2.

Answer 1

we have

Verify each statement

A -------> For (7,3) and (9,4) -----> x changes by 2 and y change by 1

(9,4) and (11,5) -------> x changes by 2 and y change by 1

(11,5) and (13,6) -----> x changes by 2 and y change by 1

option A is true

B ----> option B is true

C -----> is not true

D ----> (7,3) and (11,5) ------> y changes by 2 and x changes by 4

(9,4) and (13,6) ----> y changes by 2 and x changes by 4

option D is true

step 2

Verify A, B and D

For x=14 ------> y=7

For x=16 -------> y=8

For x=18 ------> y=9

the answer must be option A