Question

To make some extra money on the weekends, Krysta drives for the City Express ride sharing service. During regular hours, passengers are charged a flat fee plus an additional fee per mile of the ride.
This table shows the relationship between the distance (in miles) Krysta drives a passenger, x, and the amount (in dollars) the passenger is charged, y.
x (miles) y (dollars)
22 $48
32 $68
38 $80
43 $90
According to the values in the table, do x and y have a proportional relationship?
yes
no

Answer 1

To determine if \(x\) (the distance in miles) and \(y\) (the amount charged in dollars) have a proportional relationship, we need to check if the ratios of \(y\) to \(x\) are constant across the given data points.

Let's calculate the ratio \( \frac{y}{x} \) for each data pair:

1. For \(x = 22\), \(y = 48\):
\[
\frac{y}{x} = \frac{48}{22} \approx 2.18
\]

2. For \(x = 32\), \(y = 68\):
\[
\frac{y}{x} = \frac{68}{32} = 2.125
\]

3. For \(x = 38\), \(y = 80\):
\[
\frac{y}{x} = \frac{80}{38} \approx 2.11
\]

4. For \(x = 43\), \(y = 90\):
\[
\frac{y}{x} = \frac{90}{43} \approx 2.09
\]

The ratios are not constant; they vary for each pair of values. Therefore, \(x\) and \(y\) do not have a proportional relationship.

**The answer is: no.**