Question

the following data table represents a function.
a. identify the independent and dependent variables, and describe the domain and range.
b. make a clear graph of the function.
c. describe the function in words.

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$$\begin{array}{cc} \\text{speed} & \\text{stopping distance} \\\\ \\text{(mi/hr)} & \\text{(reaction plus braking in ft)} \\\\ 10 & 15 \\\\ 20 & 39 \\\\ 30 & 77 \\\\ 40 & 119 \\\\ 50 & 170 \\\\ 60 & 223 \\\\ 70 & 301 \\end{array}$$

a. the independent variable is speed and the dependent variable is stopping distance.
the domain of the function consists of all the speeds/distances from the minimum value of to the maximum value of .

Explanation:

Identify variables

Using the Independent and Dependent Variables knowledge point

• Independent variable: speed (mi/hr)
• Dependent variable: stopping distance (ft)

Determine domain

Using the Domain and Range knowledge point

• Domain consists of input values (speeds)
• Minimum speed: 10 mi/hr
• Maximum speed: 70 mi/hr
• Domain consists of all the speeds from the minimum value of 10 to the maximum value of 70.

Answer:

a. The independent variable is <blank>speed</blank> and the dependent variable is <blank>stopping distance</blank>.

The domain of the function consists of all the <blank>speeds</blank> from the minimum value of <blank>10</blank> to the maximum value of <blank>70</blank>.