Posted by **electroShark797** on Monday, August 26, 2013 at 8:57pm.

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 -
**electroShark797**, Monday, August 26, 2013 at 9:01pm
plz help!

- math plz help -
**Reiny**, Monday, August 26, 2013 at 9:10pm
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 -
**electroShark797**, Monday, August 26, 2013 at 9:15pm
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 -
**Reiny**, Monday, August 26, 2013 at 10:51pm
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 -
**electroShark797**, Monday, August 26, 2013 at 11:36pm
thank you ssssoooooo much !

- math plz help -
**Fisherman**, Monday, September 23, 2013 at 11:58am
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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