sat suite question viewer

Algebra / Linear functions Difficulty: Hard

The cost of renting a large canopy tent for up to $10$ $10$ days is $$ 430$ $dollar sign 430$ for the first day and $$ 215$ $dollar sign 215$ for each additional day. Which of the following equations gives the cost $y$ $y$ , in dollars, of renting the tent for $x$ $x$ days, where $x$ $x$ is a positive integer and $x \leq 10$ $x less than or equals 10$ ?

$y = 215 x + 215$

$y = 430 x - 215$

$y = 430 x + 215$

$y = 215 x + 430$

Back question 148 of 152 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 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152

Explanation

Choice A is correct. It’s given that the cost of renting a large canopy tent is $$ 430$ $dollar sign 430$ for the first day and $$ 215$ $dollar sign 215$ for each additional day for up to $10$ $10$ days. For $x$ $x$ days of renting the tent, the cost includes $$ 430$ $dollar sign 430$ for the first day and $$ 215$ $dollar sign 215$ for each of the $(x - 1)$ $left parenthesis x minus 1 right parenthesis$ additional days. It follows that the cost $y$ $y$ , in dollars, of renting the tent can be expressed as $y = 430 + 215 (x - 1)$ $y = 430 + 215 (x - 1)$ , which is equivalent to $y = 430 + 215 x - 215$ $y = 430 + 215 x - 215$ , or $y = 215 x + 215$ $y = 215 x + 215$ . Therefore, the equation $y = 215 x + 215$ $y = 215 x + 215$ gives the cost of renting the tent for $x$ $x$ days, where $x$ $x$ is a positive integer and $x \leq 10$ $x less than or equals 10$ .

Choice B is incorrect. This equation represents a situation where the cost of renting the tent for the first day is $$ 215$ $dollar sign 215$ , not $$ 430$ $dollar sign 430$ , and the cost for each additional day is $$ 430$ $dollar sign 430$ , not $$ 215$ $dollar sign 215$ .

Choice C is incorrect. This equation represents a situation where the cost of renting the tent for the first day is $$ 645$ $dollar sign 645$ , not $$ 430$ $dollar sign 430$ , and the cost for each additional day is $$ 430$ $dollar sign 430$ , not $$ 215$ $dollar sign 215$ .

Choice D is incorrect. This equation represents a situation where the cost of renting the tent for the first day is $$ 645$ $dollar sign 645$ , not $$ 430$ $dollar sign 430$ .