sat suite question viewer

Algebra / Linear functions Difficulty: Easy

Hana deposited a fixed amount into her bank account each month. The function $f (t) = 100 + 25 t$ gives the amount, in dollars, in Hana's bank account after $t$ monthly deposits. What is the best interpretation of $25$ in this context?

With each monthly deposit, the amount in Hana's bank account increased by $dollar sign 25$ .

Before Hana made any monthly deposits, the amount in her bank account was $dollar sign 25$ .

After $1$ monthly deposit, the amount in Hana's bank account was $dollar sign 25$ .

Hana made a total of $25$ monthly deposits.

Back question 68 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 $t$ represents the number of monthly deposits. In the given function $f (t) = 100 + 25 t$ , the coefficient of $t$ is $25$ . This means that for every increase in the value of $t$ by $1$ , the value of $f (t)$ increases by $25$ . It follows that with each monthly deposit, the amount in Hana's bank account increased by $dollar sign 25$ .

Choice B is incorrect. Before Hana made any monthly deposits, the amount in her bank account was $dollar sign 100$ .

Choice C is incorrect. After $1$ monthly deposit, the amount in Hana's bank account was $dollar sign 125$ .

Choice D is incorrect and may result from conceptual errors.