Question

A baseball team wants a pitcher no more 150 innings during a season. So far, the pitcher has pitched
`110 (1)/(4)` innings and has been averaging
`5(3)/(4)` innings per game. At this rate, what is the maximum number of additional games that the pitcher can pitch?

Plz show work and explain .

A. 4
B. 5
C. 6
D.7

Answer 1

C. 6 because any answer besides that is too low or too high.

Explanation:

110.25 pitches so far- 150 at max. 5.75 pitches per game.

4: 4x5.75 = 23

110.25 + 23 = 133.25

5. 5x5.75 = 28.75

110.25 + 28.75 = 139

6: 6x5.75 = 34.5

110.25 + 34.5 = 144.75

7: 7x5.75 = 40.25

110.25 + 40.25 = 150.50 > which rounds up to 151