Question

(I’ll mark brainliest ) The cross country running team is hosting their first home race and needs to plan and set up the course. The only tool available to record the distance measures in feet. If the course must be at least 3 miles but no more than 3.2 miles in length, what is the smallest and the largest number of feet they must walk in order to fulfill the requirements?
1 mile 5,280 feet.

Smallest:

Largest:

Answer 1

Answer:

Smallest: 15,840 ft

Largest: 16,896 ft

Step-by-step explanation:

1 mi = 5,280 ft

Setup proportion to solve for the smallest:

$\frac{1mi}{5,280ft} =\frac{3mi}{xft}$

Do butterfly method and you should get this:

$xft=3(5280)\\x=15,840ft$

Setup proportion to solve for the largest:

$\frac{1mi}{5,280ft} =\frac{3.2mi}{xft}$

Butterfly method:

$xft=3.2(5280)\\x=16,896ft$