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 14 millimeters wide, and each key on the demonstration calculator is 4.2 centimeters wide. If the student calculators are 253 millimeters tall, how tall is the demonstration calculator?
A.
75.9 meters
B.
10.626 meters
C.
0.759 meter
D.
0.042 meter
B. 10.626 meters
To find the height of the demonstration calculator, we can set up a proportion using the width of the keys.
253 mm (height of student calculator) / 14 mm (width of student calculator key) = x (height of demonstration calculator) / 4.2 cm (width of demonstration calculator key)
Cross multiplying, we get:
253 * 4.2 = 14 * x
1062.6 = 14x
x = 1062.6 / 14
x = 75.9 cm
Converting 75.9 cm to meters, we get:
75.9 cm / 100 = 0.759 meters
Therefore, the height of the demonstration calculator is 0.759 meters.