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2 years ago

13

Mrs. Rogers sold 48 out of 80 crafts at the fair. What percent of her crafts did she sell? ~Plz answer like ASAP!!thank you :))

~

1 answer:

Gre4nikov [31]2 years ago

4 0

Answer:

38.4

38.4 is 48% of 80

Step-by-step explanation:

What is 48% of 80?

Y is 48% of 80

Equation: Y = P% * X

Solving our equation for Y

Y = P% * X

Y = 48% * 80

Converting percent to decimal:

p = 48%/100 = 0.48

Y = 0.48 * 80

Y = 38.4

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Answer:

Part a) The number is 8

Part b) The initial number of bacteria is 4

Part c) $y=4(8)^x$

Part d) $y=100(8)^x$

Step-by-step explanation:

we know that

The equation of a exponential function is equal to

$y=a(b)^x$

where

y is the number of bacteria

x is the time in hours

b is the base of the exponential function

a is the initial number of bacteria

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we know that

For x=1 h ----> y=32 bacteria

For x=2 h ----> y=256 bacteria

For x=3 h ----> y=2,048 bacteria

For x=4 h ----> y=16,384 bacteria

For x=5 h ----> y=131,072 bacteria

For x=6 h ----> y=1,048,576 bacteria

so

256/32=8

2,048/256=8

16,384\2,048=8

131,072/16,384=8

1,048,576\131,072=8

so

the base of the exponential function b is 8

Part b) What is the initial number of bacteria? (at time zero)

we know that

The number of bacteria at time x=1 hour , divided by the number of bacteria at time x=0 must be equal to 8 (see part a)

so

$\frac{32}{a}=8$

solve for a

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Part c) Write a rule for this table

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$y=a(b)^x$

we have

$a=4\\b=8$

substitute

$y=4(8)^x$

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In this case

$a=100$

$b=8$ ---> the growth factor is the same

so

$y=100(8)^x$

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