Question

a crew is building a sidewalk. it can build a length of 12 kilometers in 15 days. at this rate, what length sidewalk can it build in 5 days?
(a)
let $l$ be the unknown length of sidewalk the crew can build (in kilometers). using the values below, create a proportion that can be used to find $l$.
values: $l$, 12, 15, 5
$\frac{\square}{\square}=\frac{\square}{\square}$
(b)
use the proportion from part (a) to find the length of sidewalk the crew can build in 5 days. do not round any computations.
$\square$ kilometers

Explanation:

Step1: Set up proportional relationship

$\frac{\text{Length}}{\text{Days}} = \text{Constant Rate}$, so $\frac{L}{5} = \frac{12}{15}$

Step2: Solve for $L$

Multiply both sides by 5: $L = \frac{12}{15} \times 5$

Step3: Simplify the expression

$L = \frac{12 \times 5}{15} = 4$

Answer:

(a) $\frac{L}{5} = \frac{12}{15}$
(b) 4 kilometers