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Bad White [126]
3 years ago
14

A factory produces 1,250,000 toys each year. The number of toys is expected to increase by about 150% per year. Which model can

be used to find the number of toys being produced, n (in millions), in t years?
A. n= 2.5(1.5)/t, t cannot = 0
B. n= 1.5t^2 + 1.25
C. n= 1.5t + 1.25
D. n= 1.25(2.5^t)
Mathematics
2 answers:
mrs_skeptik [129]3 years ago
3 0
The answer is D. 
You multiply 1,250,000 by 1.50= 1,875,000
Then add 1,875,000 to 1,250,000= 3,125,000
Divide by 1,000,000 and you get 3.125
dlinn [17]3 years ago
3 0

Answer: Hello mate!

The initial number produces is 1,250,000 toys per year, and you expect to increase by 150% per year.

an increase of 150% (1.5 in decimal form) means that after a year, the amount of toys produced are:

1,250,000 + 1.5*1,250,000 = 1,250,000*(1 + 1.5) = 1,250,000*2.5

and each year, you multiply the previous quantity by 2.5

then the model (in millions) is,  as a function of years:

p(0) = 1.25

p(1) = 1.25*2.5

p(2) = 1.25*2.5*2.5

and so on; you can see that:

p(t) = 1.25*(2.5^t)

So the right option is D.

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raketka [301]
Answer: 26 pieces of $1 bill and 34 pieces of $5 bill

Total Deposit = $196
Total Bills = 60 pieces
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Lets assume all the 60 pieces were $1 bill.
The total deposit will be 60 x $1 = $60

But we know that the total deposit is $196. So the extra value must have come from the $5. 

$196 - $60 = $136
There is still an outstanding amount of $136 not accounted for.

$5 - $1 = $4
The difference in the two bills is $4

Now we can find out the number of $5 bill by dividing the extra $136 by 4:
136 ÷ 4 = 34 pieces

There are 34 pieces of $5 bill.

Since there are 34 pieces of $5, the rest must be the $1 bill
60 - 34 = 26

There are 26 pieces of $1 bill.

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Answer: 26 pieces of $1 bill and 34 pieces of $5 bill.
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