Question

Mario challenged Luigi to a 60 second coin rally. Luigi had 60 seconds to collect as many coins as possible. After 30 seconds, Luigi had collected 14 coins. After 60 seconds, Luigi had collected 55 coins. Find the slope of the line using Luigi's numbers. Write your answer as a fraction in simplest form. Use the slope formula or explain your answer using rise and run.

Answer 1

The slope of line representing Luigi's numbers from 30 seconds to 60 seconds is
`(41)/(30)`

Explanation:

At 30 seconds, he collected 14 coins

At 60 seconds, he collected 55 coins

time difference, Δt = 60 - 30

⇒ Δt = 30 seconds

additional coins collected in this time, Δc = 55 - 14

⇒ Δc = 41 coins

Now, slope of the line = Δc/Δt =
`(41)/(30)`

∴ The slope of line representing Luigi's numbers from 30 seconds to 60 seconds is
`(41)/(30)` coins/sec