We have been given an equation that represents the distance an airplane travels in Miles (d) is related to the time in seconds (t).
A. Upon substituting t=1 in our equation we will get,
We can see that our plane is travelling at rate of 0.15 miles per second.
Therefore, plane is flying at the rate of 0.15 miles per second.
B. To find distance traveled by airplane in 30 seconds we will substitute t=30 in our given equation.
Therefore, plane will travel 4.5 miles in 30 seconds.
C. To find time it will take to travel 12.75 miles we will substitute d=12.75 in our given equation.
Therefore, plane will take 85 seconds to travel 12.75 miles.
Let us take time by x variable and height of the candle by y variable.
We can setup two coordinates form the given statements:
After 38 minutes, the candle was 11.2 inches tall : (38, 11.2)
Eighteen minutes later, it was 10.75 inches tall : (56,10.75).
We need to write slope -intercept form of the equation first.
Slope-intercept form is :
y-y1 = m(x-x1).
<em>In order to find slope-intercept form we need to find the slope of the given equation.</em>
Slope between (38, 11.2) and (56, 10.75) points :
Let us apply slope-intercept form y-y1 = m(x-x1).
<h3>y- 11.2 = -0.025 (x-38)</h3>Now, we need to find the height of the candle after 4 hours.
We took time in minutes.
Therefore, 4 hours = 4× 60 = 240 minutes.
In order to find the height of the candle after 4 hours, we need to plug x=240 in above slope-intercept form.
y- 11.2 = -0.025 (240-38)
y-11.2 = -0.025 ( 202)
y-11.2 = -5.05
Adding 11.2 on both sides, we get
y-11.2+11.2 = -5.05+11.2
y = 6.15
We need to round it to the tenth place.
Therefore, y = 6.15.
<h3>Therefore, the height of the candle after 4 hours is 6.15 inches.</h3>