Respuesta :

jcherry99

Answer:


Step-by-step explanation:

Problem One (left panel)

Question A

  • The y intercept happens when x = 0
  • That being said, the y intercept is 50. It was moving when the timing began.

Question B

The rate of change = (56 - 52)/(3 - 1) = 4/2 = 2  miles / hour^2 (you have a slight acceleration.

Question C

  • 60 = a + (n-1)d
  • 60 =  50 + (n - 1)*2
  • 10/2 = (n - 1)*2/2
  • 5 = n - 1
  • 6 = n

The way I have done it the domain is n from 1 to 6

Question 2 (Right Panel)

Question A

The equation for the table is f(x) = 3x - 3 which was derived simply by putting all three points into y = ax + b and solving.

  • f(0) = ax + b
  • -3 = a*0) + b
  • b = - 3
  • So far what you have is
  • f(x) = ax - 3
  • f(-1) = a*(-1) - 3           but we know (f(-1)) = -6
  • - 6 = a(-1) - 3             add 3 to both sides
  • -6 +3 = a(-1) -3 + 3
  • -3 = a*(-1)                  Divide by - 1
  • a = 3
  • f(x) = 3x - 3               Answer for f(x)
  • The slope of f(x) = the coefficient in front of the x
  • f(x) has a slope of 3
  • g(x) has a slope of 4

Part B

  • f(x) has a y intercept of - 3
  • g(x) has a y intercept of -5
  • f(x) has the greater y intercept.
  • -3 > - 5

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