Please write the asnwerr belowww

The original length of the new candle is 10 inches

Step-by-step explanation:

The form of the linear function is y = m x + b, where

∵ L represents the length of the candle remeaning unburned in inches

∵ t represents the time after the candle was lit in hours

∵ The relationship between L and t is linear

→ Put it in the form of the equation above

∴ L = m t + b, where b is the original length of the new candle

→ Use the table to find m

∵ m =

∵ (1, 9) and (6, 4) are two points in the given table

∴ t1 = 1 and L1 = 9

∴ t2 = 6 and L2 = 4

→ Substitute them in the rule of m above

∵ m = = = -1

∴ m = -1

→ Substitute it in the equation above

∵ L = -1(t) + b

∴ L = -t + b

→ To find b substitute t by 1 and L by 9

∵ 9 = -(1) + b

∴ 9 = -1 + b

→ Add 1 to both sides

∵ 9 + 1 = -1 + 1 + b

∴ 10 = b

∵ b is the original length of the new candle

∴ The original length of the new candle is 10 inches

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step-by-step explanation: