The number of views of an online video d days after it was... | SAT Nonlinear functions Question, Answer Explained

Math · Advanced MathEasy

The number of views of an online video $d$ days after it was posted is modeled by the function $V(d) = 400(2)^d$ . According to the model, how many views does the video have $3$ days after it was posted?

$2{,}400$

$3{,}200$

$3{,}600$

$6{,}400$

Show answer and explanation

Answer: B

Substitute $d = 3$ : $V(3) = 400(2)^3 = 400(8) = 3{,}200$ .

Choice A multiplies $2$ by $3$ instead of raising $2$ to the third power.

Why the other choices are wrong

A. This multiplies 2 by 3 instead of raising 2 to the third power.
C. This switches the base and the exponent, computing 400 × 3² instead of 400 × 2³.
D. This uses 2 to the fourth power, 16. After 3 days the views have doubled only 3 times.

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