Answer :

Given:

Passing grade = 70

Formula for adjusted grade, A:

[tex]A=10R^{\frac{1}{2}}[/tex]

Given a passing adjusted grade of 70, let's find the raw score, R.

To solve for R, substitute 70 for A and solve for R.

We have:

[tex]\begin{gathered} 70=10R^{\frac{1}{2}} \\ \end{gathered}[/tex]

Divide both sides by 10:

[tex]\begin{gathered} \frac{70}{10}=\frac{10R^{\frac{1}{2}}}{10} \\ \\ 7=R^{\frac{1}{2}} \end{gathered}[/tex]

Take the square of both sides:

[tex]\begin{gathered} 7^2=(R^{\frac{1}{2}})^2 \\ \\ 7^2=R^{\frac{1}{2}\times2} \\ \\ 49=R^1 \\ \\ 49=R \\ \\ R=49 \end{gathered}[/tex]

Therefore, the raw score a student would need to have a passing adjusted grade of 70 is 49

ANSWER:

49

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