Question

select the correct answer. a rubber gasket has a circumference of 3.2 cm. when placed in service, it expands by a scale factor of 2. what is the circumference of the gasket when in service? a. 6.4 cm b. 13.2 cm c. 3.2 cm d. 1.6 cm

Explanation:

Step1: Recall the scale - factor formula

The formula for the new value when there is a scale - factor is $new\ value=scale\ factor\times original\ value$.

Step2: Identify the original circumference and scale factor

The original circumference of the rubber gasket is $C_1 = 3.2$ cm and the scale factor $k = 2$.

Step3: Calculate the new circumference

$C_2=k\times C_1$. Substitute $k = 2$ and $C_1 = 3.2$ cm into the formula, we get $C_2=2\times3.2$ cm.
$C_2 = 6.4$ cm.

Answer:

A. 6.4 cm