We are given the relationship between the distance $d$ in miles and the time $t$ in seconds by the equation:

$d = 0.15t$

To determine the time $t$ it will take for the plane to travel $d = 14.5$ miles, substitute $d = 14.5$ into the equation and solve for $t$:

$14.5 = 0.15t$

Divide both sides of the equation by 0.15:

$t = \frac{14.5}{0.15}$

Now calculate:

$t = 96.67 \, \text{seconds (approximately)}.$

Final Answer:

It will take approximately 96.67 seconds for the plane to travel 14.5 miles.

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Would you like more details or have any questions? Here are some related questions for practice:

1. If the plane takes 300 seconds, how far will it travel?
2. What is the speed of the plane in miles per second?
3. How long will it take for the plane to travel 100 miles?
4. If the plane’s speed doubles, what would the new equation be?
5. Convert 96.67 seconds into minutes. How many minutes does it represent?

Tip: Always check the units (e.g., seconds, miles) to ensure consistency when solving equations!