The table is an illustration of a linear function.
The description of the charges is: A) The ride requires a $14 initial fee, plus 50 cents per mile driven
The base fee is the charges, when the number of miles is 0
From the table;
y = $14, when x = 0
So, the base fee is $14
Next, we calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
From the table, we have:
[tex]m = \frac{16.5 - 14}{5-0}[/tex]
[tex]m = \frac{2.5}{5}[/tex]
[tex]m = 0.5[/tex]
The above means that:
The cost per mile is $0.5 (i.e. 50 cents)
Hence, the description of the charges is: A) The ride requires a $14 initial fee, plus 50 cents per mile driven
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