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Question 917050: a. Copy the table. Extend the table by writing expressions for y when x = 5,6,7.
b. simplify each expression for y in your table from part(a.). What pattern do you notice in the simplified expressions?
c. Write an equation that relates x and y. Use your equation to find the value of y when x = 15.
table--------------------------------------------------------------------
x y
1 1
2 1+2
3 1+2+4
4 1+2+4+8
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need all steps please. I struggle to understand algebra. Thank you
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! a. Copy the table. Extend the table by writing expressions for y when x = 5,6,7.
b. simplify each expression for y in your table from part(a.). What pattern do you notice in the simplified expressions?
x y
1 1 = 2-1
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2 1+2 = 3 = 2^2-1
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3 1+2+4 = 7 = 2^3-1
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4 1+2+4+8 = 15 = 2^4-1
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c. Write an equation that relates x and y.
y = 2^x-1
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Use your equation to find the value of y when x = 15.
f(15) = 2^15 - 1 = 32768 -1 = 32767
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Cheers,
Stan H.
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