Question

v Click for Long Desc

Time (years)

The y-axis is labeled value left parenthesis dollars right parenthesis and ranges from 0 to 700 in increments of 100. The x-axis is labeled time left parenthesis years right parenthesis and ranges from 0 to 14 in
increments of 2. The curve passes approximately through the points left parenthesis 2 comma 400 right parenthesis, left parenthesis 4 comma 230 right parenthesis, left parenthesis 6 comma 130 right
parenthesis, left parenthesis 8 comma 80 right parenthesis, left parenthesis 10 comma 45 right parenthesis, left parenthesis 12 comma 25 right parenthesis, and left parenthesis 14 comma 15 right parenthesis.

The value of a cell phone decreases exponentially at a rate of 24% each year after its release date. If the initial value of the phone is $700, the situation can be modeled by the equation v (t) = 700(0.76)+, where
v is the value of the cell phone t years since its release date. Interpret the graph of the equation and identify the true statement.

(1 point)

O As t increases, v increases slowly at first and then quickly.

As t increases, v decreases slowly at first and then quickly.

O As tincreases, vincreases quickly at first and then slowly.

O As tincreases, v decreases quickly at first and then slowly.

Answer 1

As t increases, v decreases quickly at first and then slowly.

Explanation: v(t) = 700(0.76)^t is exponential decay (24% loss per year), so the value drops a large amount initially and the amount of drop each year gets smaller over time.