Question

Which student correctly translated the phrase "twice the sum of a number cubed and nine" and evaluated it for r = 3?

Answer 1

Answer:

$2( {r}^{3} + 9) \\ 2 ({3}^{3} + 9) \\ 2(27 + 9) \\ 2 \times 36 \\ = 72$

Step-by-step explanation:

twice a sum

$2(........)$

twice a sum of a number cubed and nine

$2( {x}^{3} + 9)$

evaluated for r =3

$x =r = 3$

so,

$2( {r}^{3} + 9) \\ 2 ({3}^{3} + 9) \\ 2(27 + 9) \\ 2 \times 36 \\ = 72$

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Answer 2

Answer:

The student who got 72, that's the right one.

Step-by-step explanation:

The given statement can be translated to

$2(n^{3} +9)$

Where $n$ is the number.

Notice that "twice" is a general product that must cover the whole sum.

If $n=3=r$, then we solve

$2(n^{3} +9)=2(3^{3}+9 )=2(27+9)=2(36)=72$

Therefore, the student who got 72, that's the right one.