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Mazyrski [523]
3 years ago
8

Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning.

After 11 hours of burning, a candle has a height of 27.8 centimeters. After 26 hours of burning, its height is 24.8 centimeters. What is the height of the candle after 23 hours?
Mathematics
1 answer:
andrey2020 [161]3 years ago
8 0

Answer:

Hey! The answer is 25,4 centimeters.

Step-by-step explanation:

In a linear function you can use y=mx+n

So if x = hours and y= height.

You know that

\left \{ {{27,8=11m +n} \atop {24,8=26m +n}} \right.

So:

If you multiply (24,8=26m +n) x-1

It is: -24,8 = -26m -n

Adding up the other equation

-24,8 = -26m -n

<u>27,8 = 11m + n</u>

<u>3 = -15m</u>

<u>m= -0,2</u>

So

27,8 = 11 x 0,2 + n

27,8 = -2,2 + n

30 = n

This results that te linear function for this equation is:

y = -0,2x + 30

The answer is

y=23(-0,2) + 30

y=-4,6+30

y=25,4

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