math plz help

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Task 2:
Use the table to complete each part.

a. Copy the table. Extend the table by writing expressions for y when x = 5, 6, and 7.

b. Simplify each expression for y in the table from part (a). What pattern do you notice in the simplified expressions?

c. Write an equation that relates x and y. Us your equation to find the value of y when x = 15.

The Table:

x | y
1 | 1
2 | 1 + 2
3 | 1 + 2 +4
4 | 1 + 2 + 4 + 8

  • math plz help -

    plz help!

  • math plz help -

    let's get the actual answers for the y values

    x | y
    1 | 1 = 1
    2 | 1 + 2 = 3
    3 | 1 + 2 +4 = 7
    4 | 1 + 2 + 4 + 8 = 15

    5 | 1+2+4+8+16 = 32
    6 | 1+2+4+8+16+32 = 63

    Did you notice that all the sums are one less than a power of 2

    e.g for x = 3, the sum = 7 = 2^3 - 1
    for x = 6 , the sum = 63 = 2^6 - 1

    so when x = 15, the sum should be 2^15 - 1 = 32767

  • math plz help -

    Okay thanks can you help with this one?

    Task 3:
    Solve. Show all your work and explain your steps.

    You are buying gifts for 10 people. You decide to buy each person either a CD or a DVD. A CD costs $12 and a DVD cost $20.

    a. Let c = the number of CDs you decide to buy. What is an expression in terms of c for the number of DVDs you buy?

    b. What is an expression in terms of c for the cost of the CDs? For the cost of the DVDs?

    c. Write and simplify an expression in terms of c for the total cost of all the gifts you buy.

  • math plz help -

    Let c = the number of CDs you decide to buy
    Then the number of DVDs is 10 - c

    cost of CD = 12c
    cost of DVD = 20(10-c)

    total cost = 12c + 20(10-c)
    = 12c + 200 - 20c
    = 200 - 8c

  • math plz help -

    thank you ssssoooooo much !

  • math plz help -

    The property used is Distributive correct? Would we say it has commutative property of addition as well or just Distributive?
    thanks

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