Question x-y-1-

1.1 Linear Functions - Rate of change applications
0:00
x y
1 11
2 19
3 a

The table shows three values of x and their corresponding values of y for the equation y=42x+3. In the table, a is a constant. What is the value of a ?

A.

67

B.

35

C.

32

D.

27

x y 1 11 2 19 3 a The table shows three values of x and

Hard-difficulty · SAT Math · Linear Functions — Rate of change applications. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

Choice B is correct. It's given that the table shows three values of x and their corresponding values of y for the equation y=42x+3. It's also given that when x = 3 the corresponding value of y is a , and a is a constant. Substituting 3 for x and a for y in the given equation yields a=423+3, or a = 35 . Therefore, the value of a is 35 .

Choice A is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect and may result from conceptual or calculation errors.