Answer:
a. 3/4 inches per minute
b. -1 1/8 inches per minute
c. B is fastest; 1 1/8 is more than 3/4
Step-by-step explanation:
A <em>change</em> is a <em>difference</em>. A <em>rate of change</em> is <em>one difference divided by another</em>, usually the change in y-value divided by the change in x-value.
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<h3>a.</h3>
The change in elevation is the difference between the elevation at the end of the period (6 inches) and the elevation at the beginning of the period (3 inches). The change in time period is the difference between the end time (8 min) and the beginning time (4 min).
change in elevation per minute = (6 -3 inches)/(8 -4 min)
= (3 inches)/(4 min) = 3/4 inches/minute
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<h3>b.</h3>
Similarly, ...
change in elevation per minute = (3 -7 1/2 inches)/(18 -14 min)
= (-4 1/2 inches)/(4 min) = -1 1/8 inches/minute
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<h3>c.</h3>
We know that 3/4 is more than -1 1/8, but when we talk about the "fastest rate of change", we're generally interested in the magnitude--the value without the sign. That means we understand a rate of change of -1 1/8 inches per minute to be "faster" than a rate of change of 3/4 inches per minute.
The rate of change from Part B is fastest. 1 1/8 inches per minute is more than 3/4 inches per minute.
Answer:
372 ft^2
Step-by-step explanation:
First, questions like these are easiest if you can draw a picture for visual. If you can envision this yard, you can break it up into two rectangles. The whole outer rectangle, and the inner rectangle created by the walkway. By taking the area of the inner rectangle, and outer rectangle, and subtracting them from each other, you get the area between them, which is the walk way.
Steps:
1. Start by finding the area of the whole yard. 28 ft x 40 ft=1120 ft^2
2. Find the area of the inner rectangle. (28 ft- 6 ft) x (40 ft- 6 ft)=748 ft^2
You subtract each outer number by 6 feet because of the three feet on either side from the walk way.
3. Lastly, 1120 ft^2- 748 ft^2= 372 ft^2
Hope this helps!
Hello from MrBillDoesMath!
Answer:
15
Discussion:
Given: measure angle STQ = 7x + 55. But, as shown, STQ is a right angle so
7x + 55 = 90 => subtract 55 from each side
7x = 90 -55 = 35 => divide each side by 7
x = 35/7 = 5
Since RS = (x+1) + (2x-1) where x = 5.
RS = (5 + 1) + (2*5 -1)
= 6 + 9
= 15
I don't know what choice the answer is as your diagram only shows Choice A
Thank you,
MrB
Answer:
b.× = 14 16
Step-by-step explanation:
<em>#</em><em>s</em><em>t</em><em>a</em><em>y</em><em> </em><em>safe</em>
hope it helps
To solve this problem, let's try to find a point on the line. It appears that (6, 8) is a coordinate on the line. We can substitute this x-value of 6 into the functions and question whether it equals the y-value of 8.
Equation 1:
The first option choice is not the equation of our line.
Equation 2:
The second choice is the equation of our line. For more verification, we will check the other equations as well.
Equation 3:
The third choice is not the equation of our line.
Equation 4:
The fourth option is not the equation of our line.
The second choice is the equation of the line.
