Question

The table shows the cost of taking a rideshare trip. Which description correctly reflects the way the charges are calculated?

Answer 1

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)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

From the table, we have:

$m = \frac{16.5 - 14}{5-0}$

$m = \frac{2.5}{5}$

$m = 0.5$

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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