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Ratios, rates, proportional relationships, and units SAT question

Math · Problem-Solving and Data Analysis · Easy · Answer it here, explanation included.

The ratio $x$ to $y$ is equivalent to the ratio $12$ to $t$ . When $x = 156$ , what is the value of $y$ in terms of $t$ ?

ExplanationShow

Choice A is correct. It's given that the ratio $x$ to $y$ is equivalent to the ratio $12$ to $t$ . This can be represented by $\frac{x}{y} = \frac{12}{t}$ . Substituting $156$ for $x$ in this equation yields $\frac{156}{y} = \frac{12}{t}$ . This can be rewritten as $12 y = 156 t$ . Dividing both sides of this equation by $12$ yields $y = 13 t$ . Therefore, when $x = 156$ , the value of $y$ in terms of $t$ is $13 t$ .

Choice B 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.

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