A Candlestick burns at a rate of 0.2 inches per hour. After 8 straight hours of burning , the candlestick is 13.4 inches tall. W

Question

GalinKa [24]

2 years ago

7

A Candlestick burns at a rate of 0.2 inches per hour. After 8 straight hours of burning , the candlestick is 13.4 inches tall. W

rite and solve a linear equation to find the original height of the candle.

Mathematics

1 answer:

Montano1993 [528] · Answer 1 · 2023-10-01T18:24:13+03:00

Answer:the original height of the candle is 14.8 inches

Step-by-step explanation:

A Candlestick burns at a rate of 0.2 inches per hour. It means that the height of the candle is decreasing by 2 inches per hour. This decrease is in arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + (n - 1)d

Where

a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

From the information given,

d = - 0.2 (it is decreasing)

n = 8

T8 = 13.4 inches

We want to determine the value of the first term, a. Therefore,

13.4 = a - 0.2(8 - 1)

13.4 = a - 1.4