Question

Find each slope from the graph and table to compare the constant speeds of the two airplanes.

What is the constant speed (slope) of Arnie’s airplane?
What is the constant speed (slope) of Bernie’s biplane?
Who flew faster?

Answer 1

Constant Speed of Arnie’s airplane = 5 mi/min

Constant Speed of Bernie’s biplane = 7 mi/min

Bernie's Biplane is faster.

Explanation:

Arnie' Airplane speed can be determined by calculating the slope.

Also,

⇒

⇒ Constant Speed = 5 mi/min

For calculating Bernie's Biplane, The formula used is:

⇒

⇒

⇒ Constant Speed = 7 mi/min

Hence, Bernie's Biplane is faster.

Answer 2

Constant Speed of Arnie’s airplane = 5 mi/min

Constant Speed of Bernie’s biplane = 7 mi/min

Bernie's Biplane is faster.

Explanation:

Arnie' Airplane speed can be determined by calculating the slope.

Also,
`\text{Constant Speed} = \frac{\text{Change in distance}}{\text{Change in time}}`

⇒
`\text{Constant Speed} = \frac{\text{10}}{\text{2}}`

⇒ Constant Speed = 5 mi/min

For calculating Bernie's Biplane, The formula used is:

`\text{Constant Speed} = \frac{\text{Total distance}}{\text{Total time taken}}`

⇒
`\text{Constant Speed} = \frac{\text{21 +35+56}}{\text{3+5+8}}`

⇒
`\text{Constant Speed} = \frac{\text{112}}{\text{16}}`

⇒ Constant Speed = 7 mi/min

Hence, Bernie's Biplane is faster.