sat suite question viewer

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

Tilly earns $p$ dollars for every $w$ hours of work. Which expression represents the amount of money, in dollars, Tilly earns for $39 w$ hours of work?

Back question 46 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 Tilly earns $p$ dollars for every $w$ hours of work. This can be represented by the proportion $\frac{p}{w}$ . The amount of money, $x$ , Tilly earns for $39 w$ hours of work can be found by setting up the proportion $\frac{p}{w} = \frac{x}{39 w}$ . This can be rewritten as $39 p w equals x w$ . Dividing both sides by $w$ results in $x equals 39 p$ .

Choice B is incorrect. This is the amount of money Tilly earns in dollars per hour, not the amount of money Tilly earns for $39 w$ hours of work.

Choice C is incorrect. This is the amount of money Tilly earns for $w$ hours of work plus $39$ , not the amount of money Tilly earns for $39 w$ hours of work.

Choice D is incorrect. This is the amount of money Tilly earns for $w$ hours of work minus $39$ , not the amount of money Tilly earns for $39 w$ hours of work.