Answer:
Step-by-step explanation:
b
Well, a linear function is proportional, a straight line (on a graph). And the numbers must not have the same answer. For instance, if the X input is 5, and the Y output is 7. And then another X input is 5, and the Y output is 8, that's non-linear.
So, the Answer would be the third graph. This is because the X values are steadily increasing, and so are the Y values.
For the X and Y values, for each time X increases by 1, Y increases by -8. This is, linear because both sides are constantly and evenly increasing.
Answer:
406
Step-by-step explanation:
We need to find the unit rate or how many miles can they drive in 1 hour. So we do 696/12 which is 58. So we have 58 miles in 1 hour. Now we multiply the number of desired hours, 7 and multiply it by 696. Which is 406
The amount of water that has entered the pool over these five minutes is 42.5 gallons.
Given the rate at which water enter the pool W(t). To calculate the amount of water that has entered the pool over these five minutes, we integrate W(t) over the interval t = 0 to t = 5.
![Amount\ of \ water=\int\limits^0_5 {W(t)} \, dt \\\\\\Amount\ of \ water=\int\limits^0_5 {(1+3t)} \, dt \\\\\\Amount\ of \ water=[t+1.5t^2]_0^5\\\\\\Amount\ of \ water=42.5\ gallons](https://tex.z-dn.net/?f=Amount%5C%20of%20%5C%20water%3D%5Cint%5Climits%5E0_5%20%7BW%28t%29%7D%20%5C%2C%20dt%20%5C%5C%5C%5C%5C%5CAmount%5C%20of%20%5C%20water%3D%5Cint%5Climits%5E0_5%20%7B%281%2B3t%29%7D%20%5C%2C%20dt%20%5C%5C%5C%5C%5C%5CAmount%5C%20of%20%5C%20water%3D%5Bt%2B1.5t%5E2%5D_0%5E5%5C%5C%5C%5C%5C%5CAmount%5C%20of%20%5C%20water%3D42.5%5C%20gallons)
The amount of water that has entered the pool over these five minutes is 42.5 gallons.
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