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Raj is deciding between two cell phone plans, A and B, which are both linear functions. The monthly charge for plan A according to the number of minutes used is shown in the table. Monthly Charge for Plan A Minutes used, x Monthly charge ($), y 0 14.45 3 14.84 6 15.23 9 15.62 12 16.01 Plan B has the same monthly base charge as plan A, but it charges a different amount per minute used. If the total monthly charge for plan B is $22.10 when 45 minutes are used, what is the slope of the linear function that represents the cost of plan B?

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Answer:

B

Step-by-step explanation:

The slope of the linear function for plan B is of $0.17.

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A linear function has an equation in the following format:

[tex]y = mx + b[/tex]

In which

  • m is the slope, which is the rate of change, measuring how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0.

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  • Plan B has the same monthly base charge as plan A, that is, from the table, when [tex]x = 0, y = 14.45[/tex], and thus, (0, 14.45) is one of the points of the function.
  • The monthly charge for 45 minutes is of $22.10, thus, another point is (45, 22.10).
  • Given two points, the slope is given by the change in y divided by the change in x. Thus:

[tex]m = \frac{22.1 - 14.45}{45 - 0} = 0.17[/tex]

The slope is of $0.17.

A similar problem is given at https://brainly.com/question/16302622

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