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swat32
3 years ago
13

A candle stick burns at the rate of 0.2 inches per hour . After eight straight hours of burning the candle stick is 13.4 inches

tall . (Please write it out) (y=mx+b)

Mathematics
2 answers:
sertanlavr [38]3 years ago
5 0

Answer:  The required equation representing the given situation is y=-14.8x+15.

Step-by-step explanation:  Given that a candle stick burns at the rate of 0.2 inches per hour . After eight straight hours of burning the candle stick is 13.4 inches tall

We are to write the linear equation in slope-intercept form y = mx + c.

Let us consider that number of hours as x co-ordinates and corresponding length of the candle burnt as y co-ordinates.

Since after 8 hours, the candle is 13.4 inches tall, so in 0 hours, the height of the candle was

13.4+8\times0.2=13.4+1.6=15.

So, the linear function will pass through two points (1, 0.2) and (0, 15).

We know that

the slope of a line passing through the points (a, b) and (c, d) is given by

m=\dfrac{d-b}{c-a}.

So, the slope of the given linear function will be

m=\dfrac{15-0.2}{0-1}=\dfrac{14.8}{-1}=-14.8.

Since the function passes through the point (0, 15), so its equation will be

y-15=m(x-0)\\\\\Rightarrow y-15=-14.8x\\\\\Rightarrow y=-14.8x+15.

Thus, the required linear equation representing the given situation is y=-14.8x+15.

Anuta_ua [19.1K]3 years ago
4 0
Does this help any? It's what I got.

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