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Otrada [13]
3 years ago
5

The table contains some points on the graph of an exponential function.

Mathematics
1 answer:
baherus [9]3 years ago
5 0

Answer:

B.   y = 10(2)^x

Step-by-step explanation:

y = ab^x

to find "b" divide the function at x = 3 by the function at x = 2

80 = ab^3

——————

40 = ab^2

This results in

2 = b

to find "a" plug pickany value of x

using x = 2

40 = a(2²)

40 = a(4)

a = 10

With a = 10 and b = 2 the exponential function y = ab^x is

y = 10(2)^x

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<em><u>Solution:</u></em>

To find: votes received by Wayne

Let the vote received by Wayne be "x"

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Therefore,

Juan votes = 4 times as many votes as Wayne

Juan votes = 4x  ---- eqn 1

<em><u>Neal received twenty less votes than Juan</u></em>

Neal votes = twenty less votes than Juan

Neal votes = Juan votes - 20

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<em><u>Kerry got half as many votes as Neal</u></em>

Kerry votes = half of neal votes

Kerry votes = \frac{4x - 20}{2}  ---- eqn 3

The total votes cast in the election was 1,202

Wayne votes + Juan votes + Neal votes + Kerry votes = 1202

Plug in eqn 1 , eqn 2, eqn 3

x + 4x + 4x - 20 + \frac{(4x - 20)}{2} = 1202\\\\2x + 8x + 8x - 40 + 4x - 20 = 1202 \times 2\\\\22x - 60 = 2404\\\\22x = 2404 + 60\\\\22x = 2464\\\\x = 112

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Answer:3808

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