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A campfire has a flame 24 inches tall after burning for 4 hours. After 6 hours, it is 20 inches tall. Write a linear equation to model the relationship between height h of the fire and time t. Predict how tall the fire will be after burning 8 hours.
(I dont have many points as this is a new account but i will mark brainiest if work is shown and correct answer)

Respuesta :

The  linear equation that model the above is h = 32 -2t and the height of fire after 8 hours is 16 inches

What is a linear equation?

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant.

Using the equation for a straight line and writing similar

h = mt + c

h = height, t = hours m and c are constants

at h = 24, t = 4

Equation becomes

24 = 4m + c--------------1

at h = 20, t = 6

20 = 6m + c---------------2

Subtract equation 2 from 1 so that the eqution reduces to

4 = -2m

m = 4/-2

m = -2

substitute m in equation 1

24 = 4( -2) + c

24 = -8 + c

c = 32

substituting m and c in he linear equation above we have

h = 32 - 2t

After 8 hours, the height h = 32 -2(8) which is 16 inches

In conclusion the linear equation is h = 32 - 2t and the height of fire after 8 hours is 16 inches

Learn more about linear equation: https://brainly.com/question/4074386

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