Question

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 6.8 centimeters wide. If the student calculators are 252 millimeters tall, how tall is the demonstration calculator?

Answer 1

Answer: 100.8 centimeters

Explanation:

Given: At the center, there is a large calculator to use for demonstration purposes that is a scale model of calculators available for the students to use.

Let x be the length of the demonstration calculator.

Since both are similar, by direct proportion we have,

`\\\Rightarrow\ \frac{\text{length of key on demonstration calculator}}{\text{length of key on student calculator}}=\frac{\text{Height of demonstration calculator}}{\text{Height of student calculator}}\\\\\Rightarrow\ (6.8)/(17)=(x)/(252)\\\\\Rightarrow\ x=(6.8*252)/(17)\\\\\Rightarrow x=100.8`

Therefore, the demonstration calculators are 100.8 centimeters tall.