Ellie designed and constructed a model of a theme park. In her model, 1 inch represents 25 feet. If the tallest rollercoaster in the theme park will have a peak of 475 feet, how tall should the peak be in her model?

Answer 1

To find out how tall the peak of the rollercoaster should be in Ellie’s model, we need to convert the actual height of the rollercoaster from feet to inches using the scale provided.

Ellie's scale is: 1 inch = 25 feet

The actual height of the rollercoaster is 475 feet. To convert feet to inches, we divide the height in feet by the number of feet represented by one inch:

\[ \text{Height in inches} = \frac{\text{Height in feet}}{\text{Feet per inch}} = \frac{475 \text{ feet}}{25 \text{ feet/inch}} \]

Now we perform the division:

\[ \text{Height in inches} = \frac{475}{25} = 19 \]

Therefore, the peak height of the rollercoaster in Ellie’s model should be 19 inches.