Question

the actual lengths of the garden are shown in the table. choose an equivalent ratio that shows each length in the scale drawing to the length in the garden. length in scale drawing, actual length in garden, ratio; 6 in., 24 ft,?; 8 in., 32 ft; 10 in., 40 ft

Explanation:

Step1: Convert feet to inches

Since 1 ft = 12 in, 24 ft = 24×12 = 288 in, 32 ft = 32×12 = 384 in, 40 ft = 40×12 = 480 in.

Step2: Find the ratio for the first row

For the first row, the length in scale - drawing is 6 in and the actual length is 288 in. The ratio is $\frac{6}{288}=\frac{1}{48}$.

Step3: Check the other rows with the ratio

For the second row, length in scale - drawing is 8 in and actual length is 384 in. $\frac{8}{384}=\frac{1}{48}$.
For the third row, length in scale - drawing is 10 in and actual length is 480 in. $\frac{10}{480}=\frac{1}{48}$.

Answer:

$\frac{1}{48}$