To convert 1.5 miles to feet, we need to use the appropriate conversion factor. We know from the problem statement that there are 5,280 feet in one mile. Now, let's evaluate the given options:
A. [tex]\(\frac{5,280 \text{ feet}}{1 \text{ mile}}\)[/tex]
B. [tex]\(\frac{1 \text{ foot}}{12 \text{ miles}}\)[/tex]
C. [tex]\(\frac{15 \text{ miles}}{1 \text{ foot}}\)[/tex]
D. [tex]\(\frac{1 \text{ mile}}{5,280 \text{ feet}}\)[/tex]
We need a ratio that allows us to multiply the number of miles by a number of feet per mile to find the number of feet.
- Option A provides a direct conversion from miles to feet ([tex]\(\frac{5,280 \text{ feet}}{1 \text{ mile}}\)[/tex]). This ratio tells us how many feet are in one mile, which is exactly what we need for the conversion from miles to feet.
- Option B provides a ratio that relates one foot to twelve miles, which does not help us convert a distance in miles to feet.
- Option C provides a ratio that suggests there are fifteen miles in one foot, which is incorrect and not relevant to our conversion.
- Option D provides the inverse of the ratio we need ([tex]\(\frac{1 \text { mile }}{5,280 \text { feet }}\)[/tex]), which would be useful if we were converting feet to miles instead.
The correct choice is therefore:
A. [tex]\(\frac{5,280 \text{ feet}}{1 \text{ mile}}\)[/tex]
This ratio allows us to convert miles to feet by multiplying the number of miles by 5,280, the number of feet in one mile. Thus, using this ratio, we can calculate 1.5 miles in feet by multiplying:
[tex]\[ 1.5 \text{ miles} \times \frac{5,280 \text{ feet}}{1 \text{ mile}} = 1.5 \times 5,280 \text{ feet} \][/tex]
Therefore, the best ratio for converting 1.5 miles to feet is:
A. [tex]\(\frac{5,280 \text{ feet}}{1 \text{ mile}}\)[/tex]
