sat suite question viewer

Algebra / Linear functions Difficulty: Medium

The function $f (x) = 55.20 - 0.16 x$ gives the estimated surface water temperature $f (x)$ , in degrees Celsius, of a body of water on the $x th$ day of the year, where $220 \leq x \leq 360$ . Based on the model, what is the estimated surface water temperature, in degrees Celsius, of this body of water on the $326th$ day of the year?

Back question 112 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 B is correct. It’s given that the function $f (x) = 55.20 - 0.16 x$ gives the estimated surface water temperature, in degrees Celsius, of a body of water on the $x th$ day of the year. Substituting $326$ for $x$ in the given function yields $f (326) = 55.20 - 0.16 (326)$ , which is equivalent to $f (326) = 55.20 - 52.16$ , or $f left parenthesis 326 right parenthesis equals 3.04$ . Therefore, the estimated surface water temperature, in degrees Celsius, of this body of water on the $326th$ day of the year is $3.04$ .

Choice A is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect. This is the rate of change, in degrees Celsius per day, of the estimated surface water temperature.

Choice D is incorrect. This is the change, in degrees Celsius, in the estimated surface water temperature over $326$ days.