Question #56dc8045 - SAT Suite Question Bank

ID: 56dc8045

Modded SAT Question Bank by Abdullah Mallik

$w (t) = 300 - 4 t$

The function $w$ models the volume of liquid, in milliliters, in a container $t$ seconds after it begins draining from a hole at the bottom. According to the model, what is the predicted volume, in milliliters, draining from the container each second?

$300$
$296$
$75$
$4$

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Correct Answer: D

Rationale

Choice D is correct. It’s given that the function $w$ models the volume of liquid, in milliliters, in a container $t$ seconds after it begins draining from a hole at the bottom. The given function $w (t) = 300 - 4 t$ can be rewritten as $w (t) = - 4 t + 300$ . Thus, for each increase of $t$ by $1$ , the value of $w (t)$ decreases by $4 left parenthesis 1 right parenthesis$ , or $4$ . Therefore, the predicted volume, in milliliters, draining from the container each second is $4$ milliliters.

Choice A is incorrect. This is the amount of liquid, in milliliters, in the container before the liquid begins draining.

Choice B is incorrect and may result from conceptual errors.

Choice C is incorrect and may result from conceptual errors.

Question Difficulty: Medium