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 15 millimeters wide, and each key on the demonstration calculator is 3 centimeters wide. If the student calculators are 246 millimeters tall, how tall is the demonstration calculator?
First, we need to find out how many keys are in the height of the student calculator.
246 mm / 15 mm = 16.4 keys
Since we can't have a fraction of a key, we round down to 16 keys.
Now we can find the total height of the student calculator:
16 keys * 15 mm = 240 mm
Next, we need to find out the height of the demonstration calculator using the ratio of key sizes.
3 cm is equivalent to 30 mm, so the demonstration calculator's key width is 30 mm.
240 mm / 15 mm = 16 keys
16 keys * 30 mm = 480 mm
Therefore, the demonstration calculator is 480 mm tall.