Question

Ms. Brooks took a picture of her daughter. On the photograph, of a centimeter = 5 inches in real life. Ms. Brooks's daughter is 9 centimeters tall in the picture. What is the actual height of Ms. Brooks's daughter?

Answer 1

To find the actual height of Ms. Brooks's daughter, multiply her height in the photograph (9 cm) by the scale factor (5 inches/cm) to get 45 inches, then convert to centimeters: 45 inches × 2.54 cm/inch equals 114.3 centimeters.

Step-by-step explanation:

In this problem, we are given a scale where 1 centimeter on the photograph is equivalent to 5 inches in real life. Ms. Brooks's daughter is 9 centimeters tall in the picture. To find her actual height, we would multiply the height in the picture by the scale factor.

Calculating the actual height:

1. Multiply the height in the picture by the scale factor (9 cm × 5 inches/cm).
2. To convert the result to a single unit (centimeters or inches), remember there are 2.54 centimeters in an inch.
3. Therefore, the actual height in inches is 9 × 5 = 45 inches.
4. To convert inches to centimeters, 45 inches × 2.54 cm/inch = 114.3 centimeters.

The actual height of Ms. Brooks's daughter is therefore 114.3 centimeters.