Answer:
2400 miles
Step-by-step explanation:
So the first equation is pretty straight forwards, it's in the slope-intercept form y=mx+b where m is the slope, and b is y-intercept, since as x increases by 1, the value y increases by m, which by definition is what the slope is, so m is the slope. In this context the slope is how many miles in x hours. So Space Explorer B flies 400 miles per hour. The amount of miles that Space Explorer A flies per mile can be calculated by dividing the 36400 by the 13 hours it had to travel. This gives you 2800 miles. So to find how many fewer miles Space Explorer B travels than Space Explorer A you subtract the 2 slopes. 2800 - 400 = 2400. So Space Explorer B travels 2400 fewer miles than Space Explorer A
Answer:
Michael: 24
Junior: 8
Step-by-step explanation:
8 is a multiple of 24, meaning if you ate 1/3 of 24 you get 16, which is doubled 8.
Answer:
≈ 11.66 units
Step-by-step explanation:
<u>Given points:</u>
<u>To find:</u>
- The distance between the given points
<u>The distance between two points is calculated by formula:</u>
- d= √((x2-x1)² + (y2-y1)²)
- d= √(((7-(-3))² + (-1-5)²) = √(10²+(-6)²)= √136 ≈ 11.66 units
<u>Answer is</u> ≈ 11.66 units
The average rate of change over the interval
is 2.17
Explanation:
Given that the cost of a floral bouquet after a discount is given by the function ![f(x)=2.17x-10.00](https://tex.z-dn.net/?f=f%28x%29%3D2.17x-10.00)
We need to determine the average rate of change over the interval ![(12,24)](https://tex.z-dn.net/?f=%2812%2C24%29)
The average rate of change can be determined using the formula,
![\frac{f(b)-f(a)}{b-a}](https://tex.z-dn.net/?f=%5Cfrac%7Bf%28b%29-f%28a%29%7D%7Bb-a%7D)
where
and ![b=24](https://tex.z-dn.net/?f=b%3D24)
Substituting the value of a and b in the function, we get,
![f(12)=2.17(12)-10.00](https://tex.z-dn.net/?f=f%2812%29%3D2.17%2812%29-10.00)
![=26.04-10.00](https://tex.z-dn.net/?f=%3D26.04-10.00)
![=16.04](https://tex.z-dn.net/?f=%3D16.04)
![f(24)=2.17(24)-10.00](https://tex.z-dn.net/?f=f%2824%29%3D2.17%2824%29-10.00)
![=52.08-10.00](https://tex.z-dn.net/?f=%3D52.08-10.00)
![=42.08](https://tex.z-dn.net/?f=%3D42.08)
Hence, substituting these values in the formula, we get,
![\frac{f(b)-f(a)}{b-a}=\frac{42.08-16.04}{24-12}](https://tex.z-dn.net/?f=%5Cfrac%7Bf%28b%29-f%28a%29%7D%7Bb-a%7D%3D%5Cfrac%7B42.08-16.04%7D%7B24-12%7D)
Simplifying, we get,
![\frac{f(b)-f(a)}{b-a}=\frac{26.04}{12}](https://tex.z-dn.net/?f=%5Cfrac%7Bf%28b%29-f%28a%29%7D%7Bb-a%7D%3D%5Cfrac%7B26.04%7D%7B12%7D)
Dividing, we have,
![\frac{f(b)-f(a)}{b-a}=2.17](https://tex.z-dn.net/?f=%5Cfrac%7Bf%28b%29-f%28a%29%7D%7Bb-a%7D%3D2.17)
Thus, the average rate of change over the interval
is 2.17
First you need to find out about how many people went on the roller coaster in one hour by doing 360 divided by 3 and you would get 120. So then you would try to find out how many people went on the coaster in 7 hours by doing 360 times 2 because 3 hours multiplied by 2 is 6 and you would do that to find out how many people went on the coaster in 6 hours, and you would get 720. Next, you have 1 more round of people, so you need to do 720 + 120 which is 840. So about 840 people rode the coaster in 7 hours. Hope this helped.