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.

\

$$\begin{array}{|c|c|} \\hline \\text{speed (mi/hr)} & \\text{stopping distance (reaction plus braking in ft)} \\\\ \\hline 10 & 17 \\\\ 20 & 37 \\\\ 30 & 78 \\\\ 40 & 119 \\\\ 50 & 160 \\\\ 60 & 232 \\\\ 70 & 316 \\\\ \\hline \\end{array}$$

a. the independent variable is speed and the dependent variable is stopping distance.
the domain of the function consists of all the speeds from the minimum value of 10 to the maximum value of 70.
the range of the function consists of all the distances from the minimum value of to the maximum value of .

Explanation:

Identify variables

Using the Independent and Dependent Variables knowledge point

$$
LATEXBLOCK0
$$

Determine domain and range

Using the Domain and Range knowledge point

$$
LATEXBLOCK1
$$

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>.

The range of the function consists of all the <blank>distances</blank> from the minimum value of <blank>17</blank> to the maximum value of <blank>316</blank>.