Solve the problem.
-The formularmula $$\mathrm { F } = 0.02 \mathrm { x } ^ { 2 } + 24$$ models the percentage of female te models the percentage of female tenured faculty, F, at State University x years after 1980. According to the formula, in what year will the percentage of female tenured faculty reach 36.5?
A)2004
B)2005
C)2006
D)2007

Question

Quizplus · Accepted Answer

To find the year when the percentage of female tenured faculty reaches 36.5, we set $F = 36.5$ and solve for $x$:$$36.5 = 0.02x^2 + 24$$Subtract 24 from both sides:$$12.5 = 0.02x^2$$Divide both sides by 0.02:$$625 = x^2$$Take the square root of both sides:$$x = 25$$Since $x$ represents the number of years after 1980, we add 25 to 1980 to find the year:$$1980 + 25 = 2005$$

Solve the Problem F=0.02x2+24\mathrm { F } = 0.02 \mathrm { x } ^ { 2 } + 24F=0.02x2+24

Solve the Problem $\mathrm { F } = 0.02 \mathrm { x } ^ { 2 } + 24$