We can represent an elapsed time of 9.8 hours after the candle was lit with [tex]t = 9.8[/tex].

What is the change in [tex]t[/tex] from 5.6 hours after the candle was lit to 9.8 hours after the candle was lit?

[tex]\delta t = 4.2[/tex]

What is the change in [tex]h[/tex] for this change in [tex]t[/tex]?

Hint: [tex]\delta h = -1.8 \cdot \delta t[/tex]

How tall is the candle 9.8 hours after it was lit?

To find the change in t, subtract the initial time from the final time. To find the change in h, multiply the change in t by the rate of burning. The height of the candle after 9.8 hours is H - 7.56 inches.

Explanation:

To find the change in t from 5.6 hours to 9.8 hours, we subtract the initial time from the final time: δt = 9.8 - 5.6 = 4.2 hours.

Now, to find the change in h, we recall that the candle burns at a rate of 1.8 inches per hour. So, δh = -1.8 × δt = -1.8 × 4.2 = -7.56 inches.

To determine the height of the candle after 9.8 hours, we subtract the change in height from the initial height. Let's say the initial height is H. Then, the height of the candle after 9.8 hours would be H - 7.56 inches.

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