Question

Use the image to answer the question.
Option B - ($) Cost per Day
(15, 60), (10, 40), (5, 20), (0, 0)
Option A and Option B are available for passes to ride public transportation. Option A is represented by the equation y = 4.25x. Option B is displayed in the graph. Which option is cheaper per day? Enter 1 for Option A. Enter 2 for Option B.
__ is cheaper per day.

Answer 1

To determine which option is cheaper per day, we can evaluate the cost of each option for different numbers of rides (x) using the equations provided.

Option A: \( y = 4.25x \)

Now, let's calculate the cost for Option A for several values of x (number of rides):

- For \( x = 0 \): \( y = 4.25(0) = 0 \)
- For \( x = 5 \): \( y = 4.25(5) = 21.25 \)
- For \( x = 10 \): \( y = 4.25(10) = 42.50 \)
- For \( x = 15 \): \( y = 4.25(15) = 63.75 \)

Now, let's summarize the costs for Option B from the graph:

- For \( x = 0 \): Cost = 0
- For \( x = 5 \): Cost = 20
- For \( x = 10 \): Cost = 40
- For \( x = 15 \): Cost = 60

Now, we can compare the costs for Option A and Option B:

| Rides (x) | Option A Cost | Option B Cost |
|-----------|----------------|----------------|
| 0 | $0 | $0 |
| 5 | $21.25 | $20 |
| 10 | $42.50 | $40 |
| 15 | $63.75 | $60 |

From the table, we can see:

- For 5 rides, Option B ($20) is cheaper than Option A ($21.25).
- For 10 rides, Option B ($40) is cheaper than Option A ($42.50).
- For 15 rides, Option B ($60) is cheaper than Option A ($63.75).

Therefore, Option B is cheaper per day for all ride counts (except for 0 rides, where both options cost nothing).

So, the answer is:

**2** is cheaper per day.