The function $$ f(x)=-3.57 x+147.39 $$ can be used to predict diamond production. For this function, $$ x $$ is the number of years after 2017 , and $$ f(x) $$ is the value (in billions of dollars) of the year's diamond production. Use this function to predict diamond production in 2025 .

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To predict the diamond production in 2025 using the given function:

$$
f(x) = -3.57x + 147.39
$$

where:
- $$ x $$ is the number of years after 2017,
- $$ f(x) $$ is the diamond production in billions of dollars.

**Step 1: Determine the value of $$ x $$ for the year 2025.**

$$
x = 2025 - 2017 = 8 \text{ years}
$$

**Step 2: Plug $$ x = 8 $$ into the function to find $$ f(8) $$.**

$$
f(8) = -3.57 \times 8 + 147.39
$$
$$
f(8) = -28.56 + 147.39
$$
$$
f(8) = 118.83
$$

**Conclusion:**

The predicted diamond production in **2025** is **\$118.83 billion**.
The predicted diamond production in 2025 is \$118.83 billion.

The function \( f(x)=-3.57 x+147.39 \) can be used to predict diamond production. For this function, \( x \) is the number of years after 2017 , and \( f(x) \) is the value (in billions of dollars) of the year's diamond production. Use this function to predict diamond production in 2025 .

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