sat suite question viewer

Problem-Solving and Data Analysis / Ratios, rates, proportional relationships, and units Difficulty: Easy

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

Back question 57 of 86 Next

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86

Explanation

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 $12 y equals 156 t$ . Dividing both sides of this equation by $12$ yields $y equals 13 t$ . Therefore, when $x equals 156$ , 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.