Write a function in terms of $$ t $$ that represents the situation. A smartphone costs $$ \$ 850 $$, and its resell value decreases by $$ 11.2 \% $$ each year. $$ y=850 imes 0.888^{t} $$ Basic

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Write a function in terms of $$ t $$ that represents the situation. A smartphone costs $$ \$ 850 $$, and its resell value decreases by $$ 11.2 \% $$ each year. $$ y=850 	imes 0.888^{t} $$ Basic

UpStudy AI · Accepted Answer

To represent the situation of a smartphone's resale value over time, we can break down the information provided:

1. The initial cost of the smartphone is $$ \$850 $$.
2. The resale value decreases by $$ 11.2\% $$ each year. This means that after one year, the smartphone retains $$ 100\% - 11.2\% = 88.8\% $$ of its value.

Given this information, we can express the resale value $$ y $$ as a function of time $$ t $$ (in years) using the formula:

$$
y = 850 \times (1 - 0.112)^{t}
$$

This simplifies to:

$$
y = 850 \times 0.888^{t}
$$

This function $$ y = 850 \times 0.888^{t} $$ accurately represents the resale value of the smartphone after $$ t $$ years, where $$ t $$ is a non-negative integer representing the number of years since the purchase.

Thus, the function is correctly stated as:

$$
y = 850 \times 0.888^{t}
$$
The resale value of the smartphone after $$ t $$ years is given by $$ y = 850 \times 0.888^{t} $$.

Write a function in terms of that represents the situation.
A smartphone costs , and its resell value decreases by each year.

Basic

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Write a function in terms of that represents the situation. A smartphone costs , and its resell value decreases by each year. Basic