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Algebra / Linear equations in one variable Difficulty: Easy

John paid a total of $dollar sign 165$ for a microscope by making a down payment of $dollar sign 37$ plus $p$ monthly payments of $dollar sign 16$ each. Which of the following equations represents this situation?

$16 p - 37 = 165$

$37 p - 16 = 165$

$16 p + 37 = 165$

$37 p + 16 = 165$

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Explanation

Choice C is correct. It’s given that John made a $dollar sign 16$ payment each month for $p$ months. The total amount of these payments can be represented by the expression $16 p$ . The down payment can be added to that amount to find the total amount John paid, yielding the expression $16 p plus 37$ . It’s given that John paid a total of $dollar sign 165$ . Therefore, the expression for the total amount John paid can be set equal to that amount, yielding the equation $16 p + 37 = 165$ .

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

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

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