alicetower097
Answered

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Jocelyn was given a box of assorted chocolates for her birthday. Each night, Jocelyn treats herself to some chocolates. The number of chocolates remaining in the box tt days after Jocelyn's birthday can be modeled by the equation C= -3t+30. What is the x-intercept of the equation and what is its interpretation in the context of the problem?

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Answer:

  • "x-intercept": t = 10
  • the chocolates will be gone after 10 nights

Step-by-step explanation:

The "x-intercept" is the value of the independent variable (t, in this case) such that the value of the dependent variable (C) is zero. We can find it by solving the equation ...

  0 = C

  0 = -3t +30

  0 = -t +10  . . . . .  divide by 3

  t = 10 . . . . . . . . . add t

The value of t is the number of days Jocelyn has been eating the chocolates. When t=10, C =0. The number of chocolates remaining in the box will be zero after 10 days.

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Answer:

The x-intercept of the function is 10 which represents the number days after Jocelyn's birthday until all of the chocolates are gone.

Step-by-step explanation:

Since there were 0 chocolates remaining after 10 days, the x-intercept of 10 represents the number of days until the box of chocolates was empty.

Have a good day :)

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