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Opened in 1887 and designed to move coal workers from their homes atop Mt

Math

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Opened in 1887 and designed to move coal workers from their homes atop Mt. Washington down to the coal factories along the river in Pittsburgh, Pennsylvania, the Duquesne Incline still serves as a mode of transportation for commuters who live in the area.

An incline is like a trolley that goes up and down a mountain.

Jasmine takes the incline to work each morning. The incline is 800 feet long, and it takes 90 seconds to ride from the top of Mt. Washington to the bottom.

1. Identify which of the following statements are true.

Explain your reasoning for each.

a. Jasmine travels approximately 178 feet every 20 seconds.

b. She travels approximately 600 feet per minute.

c. In 75 seconds, Jasmine travels approximately 750 feet.

d. She travels approximately 44 feet every 5 seconds.

e. She travels 8.9 feet per second.

2. Plot the correct ratios from Question 1 on the coordinate plane. How can you use the graph to verify correct and incorrect statements from Question 1?