Bill is driving to San Francisco. Suppose that the distance to his destination (in miles) is a linear function of his total driving time (in minutes). Bill has 52 miles to his destination after 22 minutes of driving, and he has 39.4 miles to his destination after 40 minutes of driving. How many miles will he have to his Crop a question tination after 54 minutes of driving?

To find out how many miles Bill will have to his destination after 54 minutes of driving, we can use the information given in the problem. Since the distance to his destination is a linear function of his total driving time, we can set up a linear equation to represent this relationship.

1. Let's start by calculating the rate at which Bill is covering the distance. We can use the information from the first two data points:

- After 22 minutes, Bill has 52 miles left.

- After 40 minutes, Bill has 39.4 miles left.

2. To find the rate, we can calculate the change in distance over the change in time:

- Rate = (Change in distance) / (Change in time)

3. Calculate the rate using the given data points:

- Rate = (52 - 39.4) / (22 - 40)

- Rate = 12.6 / (-18)

- Rate = -0.7 miles per minute

4. Now that we have the rate, we can use it to find the distance after 54 minutes:

- Distance after 54 minutes = Initial distance - (Rate * Time)

- Distance after 54 minutes = 52 - (-0.7 * 54)

- Distance after 54 minutes = 52 + 37.8

- Distance after 54 minutes = 89.8 miles

After 54 minutes of driving, Bill will have approximately 89.8 miles to his destination.