Answer: Choice A) 8
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If you plot all of the points, you'll see they all fall on the same straight line. The slope of this line is m = -4
Each time x increases by 1, y decreases by 4
Going in reverse, if we decrease x by 1, then we increase y by 4
So the pair (x,y) = (1,4) shown in row 2 will lead to (0,8) if we use the trick of increasing y by 4 when decreasing x by 1.
Another way to see this is to use m = -4 with (x,y) = (1,4) and you'll find that b = 8. So the equation of this line is y = -4x+8
Or you can use a graphical method to find the y intercept
Either way, the answer is 8. This is where the graph crosses the y axis.
Answer:
57 4/5
Step-by-step explanation:
Add 5 and 14
5+14 = 19
Triple the sum
3 * 19 = 57
The add 4/5
57 + 4/5
57 4/5
The rate of change is 0.5 which means that each game cost .50 cents
The initial value is 2 which means that you must initially pay $2.00
Answer:
Step-by-step explanation:
111 = 14
111 ÷ 14 = 14 ÷ 14
7.9 =
Answer:
Amy's car tank capacity is 16 gallons.
Step-by-step explanation:
Let the capacity of the tank be 'x'
Given:
Amount of gas in the car till it is refilled = ![\frac{1}{8}\times x = \frac{1}{8}x \ gallons](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B8%7D%5Ctimes%20x%20%3D%20%5Cfrac%7B1%7D%7B8%7Dx%20%5C%20gallons)
Amount of gas added = 14 gallons.
We need to find the capacity of the tank.
Solution:
Now we can say that
Total Capacity of the tank is equal to sum of Amount of gas in the car till it is refilled and Amount of gas added.
framing in equation form we get;
![x=\frac{x}{8}+14](https://tex.z-dn.net/?f=x%3D%5Cfrac%7Bx%7D%7B8%7D%2B14)
Combining the like terms we get;
![x-\frac{x}{8}=14](https://tex.z-dn.net/?f=x-%5Cfrac%7Bx%7D%7B8%7D%3D14)
Now making the denominators common we will use L.C.M.
![\frac{8x}{8}-\frac{x\times1}{8\times1}=14\\\\\frac{8x}{8}-\frac{x}{8}=14\\\\\frac{8x-x}{8}=14\\\\\frac{7x}{8}=14](https://tex.z-dn.net/?f=%5Cfrac%7B8x%7D%7B8%7D-%5Cfrac%7Bx%5Ctimes1%7D%7B8%5Ctimes1%7D%3D14%5C%5C%5C%5C%5Cfrac%7B8x%7D%7B8%7D-%5Cfrac%7Bx%7D%7B8%7D%3D14%5C%5C%5C%5C%5Cfrac%7B8x-x%7D%7B8%7D%3D14%5C%5C%5C%5C%5Cfrac%7B7x%7D%7B8%7D%3D14)
Now multiplying both side by 8 we get;
![\frac{7x}{8}\times 8=14\times8\\\\7x = 112](https://tex.z-dn.net/?f=%5Cfrac%7B7x%7D%7B8%7D%5Ctimes%208%3D14%5Ctimes8%5C%5C%5C%5C7x%20%3D%20112)
Now dividing both side by 7 we get;
![\frac{7x}{7}=\frac{112}{7}\\\\x=16\ gallons](https://tex.z-dn.net/?f=%5Cfrac%7B7x%7D%7B7%7D%3D%5Cfrac%7B112%7D%7B7%7D%5C%5C%5C%5Cx%3D16%5C%20gallons)
Hence Amy's car tank capacity is 16 gallons.