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jolli1 [7]
3 years ago
11

Your teacher asked you to represent 3 more than 8 multiplied by a number t as an expression. You wrote 3 + 8t, and your friend w

rote 11t.
Are both answers the same? If not, then who is correct? Can a verbal description of a mathematical situation like the one the teacher presented have more than one correct interpretation? Explain.
Mathematics
1 answer:
Leni [432]3 years ago
3 0

Both answers are not the same. You are correct and your friend is wrong. The situation your teacher gave could have only one other interpretation that would be acceptable and that would be 8t+3 because it is the same number just in a different order.

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City planners anticipate an 8.2% population growth per year, including new residents and births. The population, in millions of
NNADVOKAT [17]
<h2>Hello!</h2>

The answer is:

The correct option is the third option,

L(p(x))=2.425(1.082)^{x}

<h2>Why?</h2>

From the statement we know the function that models the population growth over the years (p(x)) but we have been told that there is an estimated loss that can be modeled by the function L(p), so in order to find which function represents the final function, we need to composite the function, which is the same that evaluate p(x) into the function L(p).

We are given:

p(x)=2.5(1.082)^{x}

and

L(p(x))=p(0.97)

So, the evaluationg p(x) into L(p), we have:

L(p(x))=p(0.97)\\\\L(p(x))=2.5(1.082)^{x}*(0.97)=0.97*2.5(1.082)^{x} \\\\L(p(x))=0.97*2.5(1.082)^{x}=2.425(1.082)^{x}\\\\L(p(x))=2.425(1.082)^{x}

Hence, the correct option is:

The third option,  

L(p(x))=2.425(1.082)^{x}

Have a nice day!

6 0
3 years ago
. The sum of half of the first number and 1/3 of the second number is represented by 1/2a+1/3b=9.
Damm [24]
The sum(9) of half of the first number(1/2a) and one third of the second number(+1/3b)
That is correct
7 0
3 years ago
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