Question
The Graph shows the relationship of the height of a burning candle over time. What function represents the relationship ?
Hint:
Use slope – intercept form
The correct answer is: y = x + 10
Let height of the candle = y in.
Time taken = x hour
In the figure, initial height of candle = 10 in.
i.e. when time, x = 0 hr then height of candle, x = 10 in.
Intercept c = 10 in.
Also, constant rate at which candle burns = 1 inch per hour
We know that rate of change is given by slope of the graph
Slope, m = 1
Using slope intercept form y = mx + c
We get, y = x + 10
Hence, the function represents the relationship of the height of a burning candle over time is y = x + 10
Hence, the function represents the relationship of the height of a burning candle over time is y = x + 10
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Tips to help you answer the questions on the problems of age: a.) The age after n years will be (x+n) if you assume that the current age is x.
b.) The age before n years will be (x-n) if you assume the present age to be x.
c.) If the age is expressed as a ratio, p:q, the age will be rounded to the nearest multiple of q and p.
d.) Given that you are assuming you are currently x years old, n times that number equals (xn) years.
E.g.:The father is three times older than Ronit. So he would be 2.5 times Ronit's age after '8' years. How many more times would he be Ronit's age after another '8' years?
A. 2 times
B. 2 1/2 times
C. 2 3/4 times
D. 3 times
Richard and teo have a combined age of 31 . Richard is 4 years older than twice teo's age. How old are Richard and teo?
Tips to help you answer the questions on the problems of age: a.) The age after n years will be (x+n) if you assume that the current age is x.
b.) The age before n years will be (x-n) if you assume the present age to be x.
c.) If the age is expressed as a ratio, p:q, the age will be rounded to the nearest multiple of q and p.
d.) Given that you are assuming you are currently x years old, n times that number equals (xn) years.
E.g.:The father is three times older than Ronit. So he would be 2.5 times Ronit's age after '8' years. How many more times would he be Ronit's age after another '8' years?
A. 2 times
B. 2 1/2 times
C. 2 3/4 times
D. 3 times
