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Station #4 Answer the following questions on your answer sheet. Student council is selling T-shirts during...

Station #4
Answer the following questions on your answer sheet.
Student council is selling T-shirts during spirit week.
It costs $15 for the design and $5 to print each shirt.
1. Write an equation to represent this situation.
2. Graph the equation from #1
3. What do the slope and y-intercept mean?
4. What would it cost for the student council to print 350 shirts? Show all of your work.
5. Make a table of this situation for 7 shirts.

Answer

  1. y = 5x + 15, where x is the number of shirts and y is the total cost in dollars.

  2. Label the horizontal axis number of shirts (x) and the vertical axis total cost in dollars (y). Plot (0, 15), (1, 20), (2, 25), (3, 30), (4, 35), (5, 40), (6, 45), and (7, 50). These points lie on the line y = 5x + 15. Only nonnegative whole-number values of x represent possible shirt quantities.

  3. The slope, 5, means each additional shirt costs $5 to print. The y-intercept, 15, is the one-time $15 design cost, even before any shirts are printed.

  4. y = 5(350) + 15 = 1,750 + 15 = $1,765.

  5. Table for 0 through 7 shirts:

    Shirts (x) | Total cost (y)
    0 | $15
    1 | $20
    2 | $25
    3 | $30
    4 | $35
    5 | $40
    6 | $45
    7 | $50

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