Question

Important: (Worth 50 Points)

The number of adults at an amusement park, measured in hundreds of people, is represented by the function a(w)=−0.4w2+5w+9, where w is the number of weeks since the amusement park opened for the season.

The number of children at the same amusement park, measured in hundreds of people, is represented by the function c(w)=−0.2w2+9w+12, where w is the number of weeks since the amusement park opened for the season.

What function, f(w) , can be used to determine how many more children than adults are at the amusement park any week during the season?


f(w)=−0.2w2+4w+3

f(w)=−0.2w2+4w−3

f(w)=0.2w2+4w+3

f(w)=0.2w2+14w+3

Answer 1

• C. f(w) = 0.2w² + 4w + 3

Explanation:

The function f(w) is the difference of c(w) and a(w):

• f(w) =
• c(w) - a(w) =
• − 0.2w² + 9w + 12 - (- 0.4w² + 5w + 9) =
• − 0.2w² + 9w + 12 + 0.4w² - 5w - 9 =
• 0.2w² + 4w + 3

Correct choice is C