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 17 millimeters wide, and each key on the demonstration calculator is 5.1 centimeters wide. If the student calculators are 250 millimeters tall, how tall is the demonstration calculator?
First, we need to figure out the scale factor between the student calculators and the demonstration calculator.
Since each key on the student calculator is 17 millimeters wide and each key on the demonstration calculator is 5.1 centimeters wide (which is equal to 51 millimeters), we can calculate the scale factor as:
51 / 17 = 3
So, the scale factor is 3.
Next, we need to determine the height of the demonstration calculator. If the student calculators are 250 millimeters tall, we can use the scale factor to find the height of the demonstration calculator:
250 mm * 3 = 750 mm
Therefore, the demonstration calculator is 750 millimeters tall.