Extra a candle is 17 in tall after burning for 3 hours. after 5
hours, it is 15 in, tall. write a linear equation to
model the relationship between heighth of the candle and time t. predict how tall the candle will be after burning 8 hours? show your steps and explain your work: ))
everything you so much in

1)  

2) 12 inches tall.

Step-by-step explanation:

1) The equation of the line in Slope-Intercept form is:

Where "m" is the slope and "b" is the y-intercept.

In this case:

(The height of the candle in inches)

(The time in hours)

Then, we can rewrite it:

Based on the information provided in the exercise, the line passes through these points:

and

Then, we can find the slope of the line with the formula :

Now we need to substitute the slope and one of the points into    and then solve for "b":

Substituting values, we get that the a linear equation that models the relationship between the heigth of the candle and the time, is:

2) We must substitute into the linear equation   in order to find the height of the candle after burning 8 hours:

126.66 m²

step-by-step explanation:

the pertinent area formula is a = πr², where r is the radius.

here, a = π(6.35 m)² = 40.32π, or approximately 126.66 m²