The number of boats B a boat dealer sells in each month of the year from March to December can be modeled by the function B = -15 | t - 5 | + 120 where t is the time in months and t = 1 represents January. AJ Complete the table of values and then graph the function.

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03-10-2021
Mathematics

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The number of boats B a boat dealer sells in each month of the year from March to December can be modeled by the function B = -15 | t - 5 | + 120 where t is the time in months and t = 1 represents January. AJ Complete the table of values and then graph the function.

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MrRoyal MrRoyal · Answer 1 · 2021-10-08T06:14:57-04:00

Functions can be used to represent real-life models

The complete table is:

[tex]\mathbf{\left[\begin{array}{ccccccccccccc}{Months}&1&2&3&4&5&6&7&8&9&10&11&12&{Boat\ dealers}&60&75&90&105&120&105&90&75&60&45&30&15\end{array}\right] }[/tex]

The function is given as:

[tex]\mathbf{B = -15|t - 5| + 120}[/tex]

The value of the function from t = 1 to 12 is as follows:

[tex]\mathbf{B(1) = -15|1 - 5| + 120 = 60}[/tex]

[tex]\mathbf{B(2) = -15*|2 - 5| + !20 = 75}[/tex]

[tex]\mathbf{B(3) = -15|3- 5| + 120 = 90}[/tex]

[tex]\mathbf{B(4) = -15|4- 5| + 120 = 105}[/tex]

[tex]\mathbf{B(5) = -15|5- 5| + 120 = 120}[/tex]

[tex]\mathbf{B(6) = -15|6- 5| + 120 = 105}[/tex]

[tex]\mathbf{B(7) = -15|7- 5| + 120 = 90}[/tex]

[tex]\mathbf{B(8) = -15*|8 - 5| + !20 = 75}[/tex]

[tex]\mathbf{B(9) = -15|9 - 5| + 120 = 60}[/tex]

[tex]\mathbf{B(10) = -15|10 - 5| + 120 = 45}[/tex]

[tex]\mathbf{B(11) = -15|11 - 5| + 120 = 30}[/tex]

[tex]\mathbf{B(12) = -15|12 - 5| + 120 = 15}[/tex]

So, the complete table is:

[tex]\mathbf{\left[\begin{array}{ccccccccccccc}{Months}&1&2&3&4&5&6&7&8&9&10&11&12&{Boat\ dealers}&60&75&90&105&120&105&90&75&60&45&30&15\end{array}\right] }[/tex]

See attachment for the function of [tex]\mathbf{B = -15|t - 5| + 120}[/tex]

Read more about functions, tables and graphs at:

https://brainly.com/question/18588430

Sagot :

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