A teacher is creating an assignment worth 70 points. The assignment will consist of questions worth 1 point and questions

Question

A teacher is creating an assignment worth $70$ points. The assignment will consist of questions worth $1$ point and questions worth $3$ points. Which equation represents this situation, where $x$ represents the number of $1$ -point questions and $y$ represents the number of $3$ -point questions?

A.

$4 x y equals 70$

B.

$4 (x + y) = 70$

C.

$3 x + y = 70$

D.

$x + 3 y = 70$

Accepted Answer

Choice D is correct. Since x represents the number of 1 -point questions and y represents the number of 3 -point questions, the assignment is worth a total of 1 &#183; x + 3 &#183; y , or x + 3 y , points. Since the assignment is worth 70 points, the equation x + 3 y = 70 represents this situation. Choice A is incorrect and may result from conceptual errors. Choice B is incorrect and may result from conceptual errors. Choice C is incorrect and may result from conceptual errors.

Question a-teac