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.

\

$$\begin{array}{|c|c|} \\hline \\text{speed (mi/hr)} & \\text{stopping distance (reaction plus braking in ft)} \\\\ \\hline 10 & 17 \\\\ 20 & 37 \\\\ 30 & 78 \\\\ 40 & 119 \\\\ 50 & 160 \\\\ 60 & 232 \\\\ 70 & 318 \\\\ \\hline \\end{array}$$

a. the independent variable is and the dependent variable is .

Explanation:

Identify variables

Using the Independent and Dependent Variables knowledge point

• The speed of the car is chosen independently.
• The stopping distance depends on how fast the car is traveling.
• Independent variable: speed
• Dependent variable: stopping distance

Determine domain and range

Using the Domain and Range knowledge point

• Domain (input values): \(\{10, 20, 30, 40, 50, 60, 70\}\)
• Range (output values): \(\{17, 37, 78, 119, 160, 232, 318\}\)

Answer:

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