Question

31. REWRITING A FORMULA A common statistic used in
professional football is the quarterback rating. This
rating is made up of four major factors. One factor is
the completion rating given by the formula
R= 5
5C - 0.3)
where C is the number of completed passes and A is
the number of attempted passes. Solve the formula
for C.

Answer 1

Solving for a variable in an equation means that we want to make the variable the subject of the formula. The equation of C is: $C = 0.04R + 0.06$

Given that:

$R = 5(5C - 0.3)$

To solve for C, means that we make C the subject.

Divide both sides by 5

$\frac R5 = 5C - 0.3$

$0.2R = 5C - 0.3$

Add 0.3 to both sides

$5C = 0.2R + 0.3$

Divide both sides by 5

$C = 0.04R + 0.06$

Hence, the equation of C is:

$C = 0.04R + 0.06$

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