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, 1 in. to 4 ft; 8 in., 32 ft, 4 in. to 1 ft; 10 in., 40 ft, 1 in. to 4 ft; 4 in. to 1 ft; 8 in. to 1 ft.

Explanation:

Step1: Simplify the ratio for 6 in. and 24 ft

We know that $\frac{6}{24}=\frac{1}{4}$, so the ratio is 1 in. to 4 ft.

Step2: Simplify the ratio for 8 in. and 32 ft

$\frac{8}{32}=\frac{1}{4}$, so the correct ratio should be 1 in. to 4 ft, not 4 in. to 1 ft.

Step3: Simplify the ratio for 10 in. and 40 ft

$\frac{10}{40}=\frac{1}{4}$, so the ratio is 1 in. to 4 ft.

Answer:

The correct ratios are:
For 6 in. length in scale - drawing and 24 ft actual length: 1 in. to 4 ft
For 8 in. length in scale - drawing and 32 ft actual length: 1 in. to 4 ft
For 10 in. length in scale - drawing and 40 ft actual length: 1 in. to 4 ft