Subjects algebra

Linear Function D61C98

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1. **State the problem:** We are given the function $F(t) = -50t$ and need to understand or analyze it. 2. **Formula and explanation:** This is a linear function where $F(t)$ depends directly on $t$ with a constant coefficient $-50$. The general form of a linear function is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. 3. **Identify slope and intercept:** Here, the slope $m = -50$ and the y-intercept $b = 0$ because there is no constant term. 4. **Interpretation:** The negative slope means the function decreases by 50 units for every increase of 1 unit in $t$. 5. **Graph features:** The function crosses the origin $(0,0)$ and has no extrema since it is a straight line. **Final answer:** The function $F(t) = -50t$ is a linear function with slope $-50$ and y-intercept $0$.