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UNO [17]
3 years ago
14

PLEASE HELP ILL GIVE 40 PTS

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
3 0

PART A

alligators:

 x = total number of alligators

n = number of years

x=20*1.25^n

crocodiles:

 y = total number of crocodiles

n = number of years

y=25+10n


 PART B

alligators

x=20*1.25^4 = 48.82 round up to 49

crocodiles 25 +10(2) = 25+20 = 45

Part C

 7 years

20(1.25^n)=25+10n

1.25^n=1.25+0.5n

n=7

check:

alligators 20+1.25^7 = 95.36

crocodiles = 25+10(7) = 95



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Part (a)

We have some unknown number x which is a placeholder for a positive whole number (eg: x = 4).

What's happening to x are these two things, in this exact order

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  2. Add 60

We multiply first, then add. The order is important. We're following the order of operations PEMDAS here. If we knew what x was, then we'd go forward in the PEMDAS chain; however, we don't know what x is. So we go backwards in the chain to isolate x. This will undo every operation applied to x.

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C = 85x+60

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85x = C-60

x = (C-60)/85

In the second step, I subtracted 60 from both sides to undo the "plus 60" operation. Then in the last step, I divided both sides by 85 to undo the multiplication.

<h3>Answer:   x = (C-60)/85</h3>

===============================================================

Part (b)

How many ski trips can we take if we spend $315? We simply plug in C = 315 into that equation we just found at the end of part (a).

Doing so gets us...

x = (C-60)/85

x = (315-60)/85

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x = 3

We can take 3 ski trips if we spent a total of $315

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We can take 5 ski trips if we spent a total of $485

Note how plugging something like x = 5 into the original equation yields:

C = 85x+60

C = 85*5+60

C = 425+60

C = 485

Showing that x = 5 leads to C = 485. This helps confirm the second answer. I'll let you check the first answer.

<h3>Answers: 3 trips and 5 trips respectively</h3>
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