Pierce works at a tutoring center on the weekends. At the center, they have a large calculator to use for demonstration purposes that is a scale model of calculators available for the students to use.
Each key on the student calculators is 18 millimeters wide, and each key on the demonstration calculator is 5.4 centimeters wide. If the student calculators are 252 millimeters tall, how tall is the demonstration calculator?
A.
0.756 meter
B.
13.608 meters
C.
75.6 meters
D.
0.054 meter
B. 13.608 meters
To find the height of the demonstration calculator, we can set up a proportion:
252 millimeters = 18 millimeters
x centimeters = 5.4 centimeters
Cross multiply to solve for x:
252 * 5.4 = 18 * x
x = (252 * 5.4) / 18
x = 13.608 meters
Therefore, the height of the demonstration calculator is 13.608 meters.