Question

1. a candle that is 8 inches tall burns at a rate of \\(\frac{3}{4}\\) inches per hour. find the height of the candle after 4 hours.

1. a car that was originally worth $29,500 depreciates at a rate of $2,500 per year. find the value of the car after six (6) years.

Explanation:

Problem 3

Step1: Calculate burned length

Burn rate is $\frac{3}{4}$ in/hour, time is 4 hours. Burned length = $\frac{3}{4} \times 4 = 3$ inches.

Step2: Subtract from original height

Original height is 8 inches. Remaining height = $8 - 3 = 5$ inches.

Step1: Calculate total depreciation

Depreciation rate is $2500 per year, time is 6 years. Total depreciation = $2500 \times 6 = $15000.

Step2: Subtract from original value

Original value is $29500. Final value = $29500 - $15000 = $14500.

Answer:

5 inches

Problem 4