Question

A candle burns down at the rate of 0.5 inches per hour. The original height of the candle was 6 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, 6) would represent a height of 6 inches after 0 hours. Explain how you obtained the ordered pairs.

Answer 1

OK the next time will be 1 hours and the length of the candle will be 6 - 0.5 inches

so after (0,6) we 'll get (1,5.5)

can you continue?

Answer 2

yes weve done those 2 - there are 4 more to find

Answer 3

the first number of a pair is hours and the second is the height of the candle.

Answer 4

?????

Answer 5

after 1 hour what is the next number of hours?

Answer 6

right - so the next pair will be (2, something) that something will be height of candle at time 2 hours. You get this by subtracting 0.5 from the height after 1 hour.

Answer 7

you subtract 0.5 because the candle burns at 0.5 inch / hours.

Answer 8

(0,-4) is wrong - its (0,6) as we said before.

Answer 9

- you are adding a THIRD pair after the (0,6) and (1, 5.5)

Answer 10

No - why 0????? - its after 2 hours

Answer 11

i said earlier that iss (2 , something)

Answer 12

NO its a COMMA after the 2

Answer 13

the hours part - thats the first number in the ordered pair increase by 1 each time
the height of the candle that forms a pair with the hours goes down in length 0.5 inches each hour.

Answer 14

yea - what comes after the 2 in the last pair - subtract 0.5 from the last number

Answer 15

5.5 - 0.5 = ?

Answer 16

right so the third pair is (2 , 5)

Answer 17

the the next pair will be (3 , what?)

Answer 18

subtract another 0.5

Answer 19

YES

Answer 20

correct

Answer 21

one more and you've done the 6

Answer 22

yep