To write a linear equation to model the relationship between the height of the candle and the time it has been burning, we can use the equation of a line: y = mx + b, where y represents the height of the candle and x represents the time in hours.
Let's first find the slope (m) of the line using the given information:
The initial height of the candle (when x = 0) is 15 inches, and after 3 hours (when x = 3), the height is 15 - 3 = 12 inches.
Therefore, we can calculate the slope (m) as:
m = (change in y) / (change in x) = (12 - 15) / (3 - 0) = (-3) / (3) = -1.
Now let's find the y-intercept (b) using the initial height information:
When x = 0, y = 15. Thus, b = 15.
Now we can write the linear equation:
y = mx + b
Height = -1 * (time) + 15
Height = -1x + 15
To predict how tall the candle will be after burning 8 hours, we substitute x = 8 into the equation:
Height = -1(8) + 15
Height = -8 + 15
Height = 7 inches.
Therefore, the candle is predicted to be 7 inches tall after burning for 8 hours.
a candle is 15 inches tall after burning 3 hours after 5 hours it is 13 inches tall
write a linear equation to model the relationship between height of the calndle and predict how tall the candle will be after burning 8 hours
1 answer
1 answer