Answer:
The rate of change in the function Y = 2X +5 is <u>greater than</u> the rate of change of the function represented in the table
Step-by-step explanation:
The given function is
For a linear function in the form y=mx +c, the rate of change is <em>m</em>.
The rate of change of this function is 2
We now determine the rate of change of the function represented in the table.
This is given by
Using the corresponding values from the table, the rate of change is
Therefore the rate of change in the function Y = 2X +5 is greater than the rate of change of the function represented in the table
The answer is 10 ft. make a triangle 6ft tall, 8ft long (90 degrees to the other line) and draw a line to complete the triangle. This is a type of 3,4,5 triangle, a 6,8,10. The other way to do it is sqrt(6^2+8^2) = sqrt(36+64) = sqrt (100) = 10.
There is a method of doing this called unit analysis. It automatically sets up the question in such away that you multiply all the numerators together and divide by all the denominators multiplied together. It is very handy to know.
Notice how the cancellation takes place as you progress from left to right. You are given seconds to start with and that cancels at the end, so that you are only left with meters.
The distance traveled in 10 seconds = 1080000 / 3600 = 300 meters.
Answer: 300 meters
You could also do this question by proportions, which you will no doubt get as your second answer.
For every 1ft in the original, the model used 2in
1ft:2in
There are 12inches in a foot, so we could also write the ratio as
12in:2in
12/2=6 So the model is 6X smaller than the original
The length of the original was 9ft
L=9ft
The width of the original was 4ft
W=4ft
The height of the original is 6ft
H=6ft
The volume of the original is:
V=L*W*H
V=9*6*4=216ft³
Now lets find the dimensions of the model...
If the length of the original was 9 feet we just divide that number by 6 to find the length of the model.
9/6= 1 1/3 ft
The length of the model is 1 1/3ft or 16in
If the width of the original was 4 feet we just divide that number by 6 to find the width of the model.
4/6= 2/3 ft
The width of the model is 2/3ft or 8in
If the height of the original was 6 feet we just divide that number by 6 to find the height of the model.
6/6=1ft
The height of the model is 1ft or 12 inches
The volume of the model is...
V=l*w*h=16in*8in*12in=1536in³
***Edit*** The answer is now completed
The answer would be 69 because u need to convert the percentage to a decimal which would be .15 and multiply by 460 and get 69