Answer:
C
Step-by-step explanation:
Since all the graphs have the same line, you’re just looking for the correct shaded region. Since for both equations you want the shaded region to be less than the line, answer c solves the inequality.
Answer:
This is exponential growth
Step-by-step explanation:
The amount by which the function is increasing from point to point is increasing, so it must be a quadratic or exponential function. If it was a quadratic, the amount it increases by would be increasing by a steady amount. (Ex. x^2 increases by how much it increased the last time + 2). But because this is not what the data shows, the function must be exponential.
Answer:
1) Ben, 2)
, 3)
, 4) ![\dot M = 2.9](https://tex.z-dn.net/?f=%5Cdot%20M%20%3D%202.9)
Step-by-step explanation:
1) Ben has a higher rate of memorization, since the coefficient of the second power is lesser than the one from Alice.
2) The number of words can be estimated by integrating the function:
Alice
![\Delta m = -0.003\cdot (10\,min)^{3} + 0.3\cdot (10\,min)^{2}](https://tex.z-dn.net/?f=%5CDelta%20m%20%3D%20-0.003%5Ccdot%20%2810%5C%2Cmin%29%5E%7B3%7D%20%2B%200.3%5Ccdot%20%2810%5C%2Cmin%29%5E%7B2%7D)
![\Delta m = 27](https://tex.z-dn.net/?f=%5CDelta%20m%20%3D%2027)
Ben
![\Delta M = -0.001\cdot (10\,min)^{3} + 0.3\cdot (10\,min)^{2}](https://tex.z-dn.net/?f=%5CDelta%20M%20%3D%20-0.001%5Ccdot%20%2810%5C%2Cmin%29%5E%7B3%7D%20%2B%200.3%5Ccdot%20%2810%5C%2Cmin%29%5E%7B2%7D)
![\Delta M = 29](https://tex.z-dn.net/?f=%5CDelta%20M%20%3D%2029)
![\Delta = \Delta M - \Delta m](https://tex.z-dn.net/?f=%5CDelta%20%3D%20%5CDelta%20M%20-%20%5CDelta%20m)
![\Delta = 2](https://tex.z-dn.net/?f=%5CDelta%20%3D%202)
3) The average amount of words per minute is:
![\dot m = \frac{27}{10}](https://tex.z-dn.net/?f=%5Cdot%20m%20%3D%20%5Cfrac%7B27%7D%7B10%7D)
![\dot m = 2.7](https://tex.z-dn.net/?f=%5Cdot%20m%20%3D%202.7)
4) The average amount of words per minute is:
![\dot M = \frac{29}{10}](https://tex.z-dn.net/?f=%5Cdot%20M%20%3D%20%5Cfrac%7B29%7D%7B10%7D)
![\dot M = 2.9](https://tex.z-dn.net/?f=%5Cdot%20M%20%3D%202.9)
The anwser to this question would be B.:) 28