sat suite question viewer

Advanced Math / Nonlinear functions Difficulty: Easy

The graph shown gives the estimated value, in dollars, of a tablet as a function of the number of months since it was purchased. What is the best interpretation of the y-intercept of the graph in this context?

The estimated value of the tablet was $dollar sign 225$ when it was purchased.

The estimated value of the tablet $24$ months after it was purchased was $dollar sign 225$ .

The estimated value of the tablet had decreased by $dollar sign 225$ in the $24$ months after it was purchased.

The estimated value of the tablet decreased by approximately $2.25 percent sign$ each year after it was purchased.

Back question 180 of 229 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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229

Explanation

Choice A is correct. It's given that the graph shown gives the estimated value $y$ , in dollars, of a tablet as a function of the number of months since it was purchased, $x$ . The y-intercept of a graph is the point at which the graph intersects the y-axis, or when $x$ is $0$ . The graph shown intersects the y-axis at the point $left parenthesis 0 comma 225 right parenthesis$ . It follows that $0$ months after the tablet was purchased, or when the tablet was purchased, the estimated value of the tablet was $225$ dollars. Therefore, the best interpretation of the y-intercept is that the estimated value of the tablet was $dollar sign 225$ when it was purchased.

Choice B is incorrect. The estimated value of the tablet $24$ months after it was purchased was $dollar sign 50$ , not $dollar sign 225$ .

Choice C is incorrect. The estimated value of the tablet had decreased by $dollar sign 225 minus dollar sign 50$ , or $dollar sign 175$ , not $dollar sign 225$ , in the $24$ months after it was purchased.

Choice D is incorrect and may result from conceptual errors.