MATH SOLVE

3 months ago

Q:
# ®A candle 6 inches high burns at a rate of 1 inch every 2 hours for5 hours. (Use interval notation for the domain and range of thefunction that models this situation.)The candles burning rate isin./h.The candles height h (in inches) at any timet (in hours) is modeled by h(t) =Since the candle burns for 5 hours, the domain is restricted to theintervalo,The range is

Accepted Solution

A:

Answer:See explanationStep-by-step explanation:A candle 6 inches high burns at a rate of 1 inch every 2 hours for 5 hours. The candles burning rate is 0.5 inch per hour). Thena cnadle height after first hour is 6 - 0.5 = 5.5 inches;a candle height after first two hours is 5.5 - 0.5 = 5 inches;a candle height after first three hours is 5 - 0.5 = 4.5 inches;a candle height after first 4 hours is 4.5 - 0.5 = 4 inches;a candle height after first 5 hours is 4 - 0.5 = 3.5 inches.The candles height h (in inches) at any time t (in hours) is modeled by [tex]h(t)=6-0.5t[/tex]The domain of this function is[tex]0\le t\le 5[/tex]The range og this function is [tex]3.5\le h(t)\le 6[/tex]