Question

Daniel is decorating mirrors from a craft kit he received. He can decorate nine mirrors every two hours. The equation h is equal to two ninths m models the relationship between the number of mirrors decorated and the number of hours. Determine the number of mirrors Daniel can decorate in twenty-four hours.

Answer 1

To determine the number of mirrors Daniel can decorate in twenty-four hours, solve the proportion 9 mirrors / 2 hours = x mirrors / 24 hours.

Step-by-step explanation:

To determine the number of mirrors Daniel can decorate in twenty-four hours, we can use the equation h = 2/9m. In this equation, h represents the number of hours and m represents the number of mirrors.

We have the information that Daniel can decorate nine mirrors every two hours. So, we can set up a proportion to find the number of mirrors he can decorate in twenty-four hours.

9 mirrors / 2 hours = x mirrors / 24 hours

Cross-multiplying, we get 2 * x = 9 * 24, which simplifies to 2x = 216.

Dividing both sides of the equation by 2, we find that x = 108.

Therefore, Daniel can decorate 108 mirrors in twenty-four hours.