Math  /  Word Problems

QuestionMary types 65 words/min for 30 min, T(x)=65xT(x)=65x. Interpret P(25)=1625P(25)=1625 and find the domain and range.

Studdy Solution
etermine the range of the function (x)(x).
Since Mary types65 words per minute, the minimum number of words she can type is0 (when x=0x=0) and the maximum is 65×30=195065 \times30 =1950 (when x=30x=30). So the range of the function is all real numbers from0 to1950, inclusive.
Range0(x)1950Range0 \leq(x) \leq1950In conclusion, the point (25)=162(25)=162 means that Mary has typed162 words after25 minutes. The domain of the function is 0x300 \leq x \leq30 and the range is 0(x)19500 \leq(x) \leq1950.

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