Acandle burns down at the rate of 0.5 inches per hour. the original height of the candle was 9 inches. part a: write a list of 6 ordered pairs to show the height of the candle in inches (y) as a function of time in hours (x) from the first hour after it started burning. for example, the point (0, 9) would represent a height of 9 inches after 0 hours. explain how you obtained the ordered pairs. (5 points) part b: is this relation a function? justify your answer using the list of ordered pairs you created in part a. (2 points) part c: if the rate at which the candle burned was 0.45 inches per hour instead of 0.5 inches per hour, would the relation be a function? explain your answer using input and output values. (3 points)

A: (1, 8.5)(2, 8)(3, 7.5)(4, 7)(5, 6.5)(6, 6)

B: Yes

C: Yes

Step-by-step explanation:

A: I obtained the ordered pairs by subtracting .5 inches from 9 inches for each second.

B: Yes because for every input there is only one output. For example after 2 seconds, the candle is 8 inches (and there is no other input). A function must only have one output for every input.

C: The relation would still be a function because for every input there would be one out put. Some new ordered pairs would be (1, 8.55) (2, 8.1) (3, 7.65) (4, 7.2) (5, 6.75) (6, 6.3)

solution:

→c= a b , that is product of a and b is possible only when when a is m × n matrix and b is n × p matrix.

that is, number of columns of a= number of rows of b.

so, size of matrix , c= a b is , if a = (m × n)matrix

b= (n × p)matrix

then a b = [ (m × n)matrix] ×[   (n × p)matrix ]

→→c= a b= [m × p ] matrix

→→size of product a b will be equal to = number of rows of a × number of columns of b

more detail

step-by-step explanation: