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nignag [31]
3 years ago
11

Betty Donahue is choosing between two fitness centers. Center A charges $375 per year for unlimited use of all facilities. Cente

r B charges a $35 sign up fee, a $12 monthly fee, and $5 per aerobics class. If Betty goes to aerobics once a week, which club is least expensive for her to use for a year
Mathematics
2 answers:
Ronch [10]3 years ago
3 0
Center A : 375 per yr

Center B : 35 + 12(12) + 5(52) = 35 + 144 + 260 = 439 per yr
I multiplied 12 * 12 because it was $ 12 a month and there are 12 months in a yr. I multiplied 5 * 52 because each aerobic class is $ 5 per class, and she went once per week, and there are 52 weeks in a yr.

so the cheaper one is Center A
Mandarinka [93]3 years ago
3 0
Fitness Center A is cheaper than Fitness Center B!
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the function f(x) is increaseing when the slope is positive
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it is increasing when the derivitive is positive, so just find where the graph is positive (that's about from -2 to 4)

it is concave down when the second derivitive (aka derivitive of the first derivitive aka slope of the first derivitive) is negative
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from about x=0 to x=2
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