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Interpret the slope of the relation.

Mathematics

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Answer

95 degrees Fahrenheit\frac{9}{5} \text{ degrees Fahrenheit}

Step-by-step solution

2 steps

d) To interpret the slope of the relation F=95C+32F = \frac{9}{5}C + 32:

The equation is in the form y=mx+by = mx + b, where mm is the slope. In this relation, FF is the dependent variable (y) and CC is the independent variable (x). The slope m=95m = \frac{9}{5}.

  1. Identify the slope.

    The slope of the relation F=95C+32F = \frac{9}{5}C + 32 is 95\frac{9}{5}.

  2. Interpret the meaning of the slope.

    The slope represents the change in Fahrenheit temperature (FF) for every one-unit change in Celsius temperature (CC).
    A slope of 95\frac{9}{5} means that for every 1∘C1^{\circ}\text{C} increase in temperature, the temperature in Fahrenheit increases by 95∘F\frac{9}{5}^{\circ}\text{F} (or 1.8∘F1.8^{\circ}\text{F}).

    Interpretation:
    The slope of the relation indicates that for every one-degree Celsius increase in temperature, the corresponding Fahrenheit temperature increases by 95 degrees Fahrenheit\boxed{\frac{9}{5} \text{ degrees Fahrenheit}}.

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