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The table shows the cost of taking a rideshare trip. Which description correctly reflects the way the charges are calculated?
A)
The ride requires a $14 initial fee, plus 50 cents per mile driven
B
The ride requires a $14 initial fee, plus 51.90 per mile driven
The ride requires a $14 Initial fee, plus 52.15 per mile driven
D
The ride requires a 514 initial fee, plus 52.50 per mile driven


The Table Shows The Cost Of Taking A Rideshare Trip Which Description Correctly Reflects The Way The Charges Are Calculated A The Ride Requires A 14 Initial Fee class=

Sagot :

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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