Answer:
1. Find slope.
slope(m)
![= \frac{y2 - y1}{x2 - x1} \\](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7By2%20-%20y1%7D%7Bx2%20-%20x1%7D%20%20%5C%5C%20)
![\frac{2 - 3}{10 - 0} = \frac{ - 1}{10}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%20-%203%7D%7B10%20-%200%7D%20%3D%20%20%5Cfrac%7B%20-%201%7D%7B10%7D%20)
2. Substitute any point. (either (0,3) or (10,2) to find the y-intercept (b)
y=mx+b
3=-1/10+b
b=31/10 or 3.1
so the final answer is
y= - 1/10 + 31/10 or y= - 0.1 + 3.1
Answer:
multiply 6 by 19 to get the total age of the six people in the room then add the ages of the 5 people in the room and subtract it from the total of the 6 to get your answer
Your answer is 2,200 pupils.
If 990 is equal to 45% of the total amount of pupils, then to find 1% we can divide both 45 and 990 by 45.
990 ÷ 45 = 22, which is 1%, so then we multiply 22 by 100 to get 100% of the pupils, which gives us 2,200.
I hope this helps!
Answer:
5. 200/1 = 200 ft/min
6. 600/3 = 200 ft/min
Step-by-step explanation:
5. The rate of change of a graph is the ratio of vertical change to horizontal change. You are asked to find the rate of change from 1 minute to 2 minutes, so you want to find the distance (ft) at 2 minutes and at 1 minute.
Reading the graph, you see that at 2 minutes, the distance is 400 ft. At 1 minute, it is 200 ft.
So, the ratio of the two differences is ...
change in distance / change in time
![=\dfrac{400-200}{2-1}=\dfrac{200}{1}=200\quad\text{ft per min}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B400-200%7D%7B2-1%7D%3D%5Cdfrac%7B200%7D%7B1%7D%3D200%5Cquad%5Ctext%7Bft%20per%20min%7D)
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6. Using the same idea, we want to use the graph values at 4 minutes and 1 minute.
![\dfrac{\text{$\Delta$distance}}{\text{$\Delta$time}}=\dfrac{800-200}{4-1}=\dfrac{600}{3}=200\quad\text{ft per min}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctext%7B%24%5CDelta%24distance%7D%7D%7B%5Ctext%7B%24%5CDelta%24time%7D%7D%3D%5Cdfrac%7B800-200%7D%7B4-1%7D%3D%5Cdfrac%7B600%7D%7B3%7D%3D200%5Cquad%5Ctext%7Bft%20per%20min%7D)
Answer:
if 3 inches on a map = 42miles
then x = 322miles
cross multiply
3inches by 322 = xby42miles
966inchesmiles = 42xinchesmiles
divide both sides by 42miles
xinchees = 23
therefore 322miles distance will take 23inches on a map