Question

WILL GIVE BRAINLIEST AND 10 POINTS!!!! I REALLY NEED HELP!!


Question 1 (Essay Worth 10 points)

(4. 01 MC)


A candle 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)

Answer 1

A)  the six ordered pairs which show the candle in inches as a function  of time in hours from the first hour of burning :(1,8.5), (2,8.0), (3,7.5), (4,7.0), (5,6.5), (6,6.0)

B) yes it is a linear function.

C) The relation be a function(1,8.55), (2,8.1),(3,7.65), (4,7.2),(5,6.75),(6,6.3)

for the first case, if x is the  hours and y is the  inches, the according to the  given information the function will be f(x)=  9-x(0.5), for f(1) =9-0.5= 0.8,  f(2) = 9-1 = 8 and so on.

for the second case, it is a linear equation and we get a straight line with a negative slope when plotting the equation for the last case  the function for the situation will be f(x) = F(x)= 9-x(0.45) ,for f(1) =  9-(0.45)=  8.55, f(2) = 9-2(0.45)= 8.1  and so on .

to know more about function  refer to the link   https://brainly.com/question/5975436?referrer=searchResults.

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