Television screen sizes are measured by the diagonal length of the rectangular screen. Assuming proportionality, if a vehicle on a 32-inch screen appears 9 inches long, how long will it appear on a 50-inch screen? (Round to the nearest inch.)

Rationale

The vehicle will appear 15 inches long on a 50-inch screen.

This is determined by maintaining the proportion of the vehicle's length to the screen size. The length of the vehicle on the larger screen is found by setting up a proportion based on the length of the vehicle on the smaller screen and solving for the unknown length.

A (27 in) YOUR ANSWER

This choice is incorrect because it does not maintain the proportion of the vehicle's length to the screen size. The length of the vehicle on the larger screen should be smaller than the length on the smaller screen, not larger.

B (18 in) YOUR ANSWER

This choice is incorrect because it does not correctly solve the proportion. The length of the vehicle on the larger screen should be larger than the length on the smaller screen, not smaller.

D (11 in) YOUR ANSWER

This choice is incorrect because it does not correctly solve the proportion. The length of the vehicle on the larger screen should be larger than the length on the smaller screen, not smaller.

Conclusion

The length of the vehicle on the larger screen is found by setting up a proportion based on the length of the vehicle on the smaller screen and solving for the unknown length. By maintaining the proportion of the vehicle's length to the screen size, we can determine that the vehicle will appear 15 inches long on a 50-inch screen.

Television screen sizes are measured by the diagonal length of the rectangular screen. Assuming proportionality, if a vehicle on a 32-inch screen appears 9 inches long, how long will it appear on a 50-inch screen? (Round to the nearest inch.)

The vehicle will appear 15 inches long on a 50-inch screen.

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