Question

the table of values below represents a linear function and shows the number of miles on the odometer of brians moped since he started riding it. what is brians speed?

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$$\begin{tabular}{|c|c|c|c|c|c|} \\hline \\multicolumn{6}{|c|}{miles on the odometer of brians moped} \\\\ \\hline number of minutes brian has been riding moped & 0 & 4 & 8 & 12 & 16 \\\\ \\hline number of miles traveled & 3.25 & 4.25 & 5.25 & 6.25 & 7.25 \\\\ \\hline \\end{tabular}$$

• 0.25 miles per minute
• 1 mile per minute
• 3.25 miles per minute
• 4 miles per minute

Explanation:

Identify the variables

Using the Linear Function from Table knowledge point
Let \(x\) represent the number of minutes Brian has been riding.
Let \(y\) represent the number of miles on the odometer.

Select two data points

Using the Linear Function from Table knowledge point

$$ (x_1, y_1) = (0, 3.25) $$

$$ (x_2, y_2) = (4, 4.25) $$

Calculate the rate of change

Using the Rate of Change knowledge point

$$ \text{Speed} = \frac{y_2 - y_1}{x_2 - x_1} = \frac{4.25 - 3.25}{4 - 0} = \frac{1}{4} = 0.25 $$

Answer:

• (A) 0.25 miles per minute (Correct answer)
• (B) 1 mile per minute
• (C) 3.25 miles per minute
• (D) 4 miles per minute