Questions: Use the following function to find (u(15)) : [ u(x)=-frac25 x-3 ]

$Use the following function to find (u(15)) : [ u(x)=-frac25 x-3 ]$

Transcript text: se the following function to find $u(15)$ : \[ u(x)=\frac{-2}{5} x+-3 \]

Solution

To find $ u(15) $ for the given function $ u(x) = \frac{-2}{5} x - 3 $, we need to substitute $ x = 15 $ into the function and compute the result.

Step 1: Substitute $ x = 15 $ into the function

Given the function $ u(x) = \frac{-2}{5} x - 3 $, we substitute $ x = 15 $:

\[ u(15) = \frac{-2}{5} \cdot 15 - 3 \]

Step 2: Simplify the expression

First, calculate $ \frac{-2}{5} \cdot 15 $:

\[ \frac{-2}{5} \cdot 15 = -6 \]

Next, subtract 3 from -6:

\[ -6 - 3 = -9 \]

\[ \boxed{u(15) = -9} \]

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