Question

A baseball bat is 33 inches long. A jeweler is making a baseball bat charm for a bracelet. He uses a scale factor of 1/60 . What is the length of the baseball bat charm?

a. 1/3 inch
b. 11/20 inch
c. 9/11 inches
d. 3 inches

Answer 1

The correct answer is option b. To calculate the length of a baseball bat charm at a 1/60 scale factor, multiply the original length of the baseball bat (33 inches) by the scale factor. The charm's length is 11/20 inches after reduction.

Step-by-step explanation:

The question involves using a scale factor to determine a length. Specifically, a jeweler is making a baseball bat charm for a bracelet, which is a scaled-down version of an actual baseball bat. To find the charm's length, we use the given scale factor of 1/60 for the original bat's length of 33 inches.

Here's how to calculate it step-by-step:

1. Identify the scale factor: 1/60.
2. Identify the original length of the object (baseball bat): 33 inches.
3. Multiply the original length by the scale factor: 33 inches * (1/60) = 33/60 inches.
4. Simplify the fraction: 33/60 inches can be reduced to 11/20 inches (since both the numerator and denominator can be divided by 3).

Therefore, the length of the baseball bat charm is 11/20 inches.