Which function represents the scenario below?

A: Sparkler

Each second a sparkler burns down the same amount.

x = the number of seconds that have passed

y = the height of the sparkler in inches

(option 1: y = 10 - 0.2x. Option 2: y = 12 * (2)^x)

Part B: How long will it take the sparkler to burn down? (When will the height be zero?)

-50 Seconds
50 Seconds
10 seconds
10.2 Seconds

1 answer

The function that represents the scenario is option 1: y = 10 - 0.2x.

To determine how long it will take for the sparkler to burn down, we set y equal to zero and solve for x:

0 = 10 - 0.2x

0.2x = 10

x = 10 / 0.2

x = 50

Therefore, it will take the sparkler 50 seconds to burn down completely.