Question

T midnight, a candle was lit. At 15 minutes past midnight, the candle was 4 inches tall, and you notice that it burns at a rate of 0.75 inches per hour.
(a)Write the point–slope form of the function that gives the height of the candle, h, in inches, as a function of time, t, in minutes past midnight, as the candle burns.
(b)When is the candle 1 inch tall?

Answer 1

Answer:

a)   t-4 = 3 (i - 1/4h) =  h = 3i - 3 3/4h  

= t = -0.75

= h = 4  

b) 3.30am = 1 inch.

Step-by-step explanation:

a)   formula for point slope form = y - y1 = m(x-x1)

a) t-4 = 3(i - 1/4h)  converts to  t-4   = 3i - 3/4h  = t = 3i- 3 3/4

x = - 0.75 y = 4  =     t= -0.75 and h = 4

b) 12.15am = 4 inches

1.15am = 3.25 inches

2.15am = 2.5 inches

3.15am = 1.75inches

3.30 = 1 inches

3.15 + 15mins = 1 inch