Suppose a major league baseball player has hit 7 home runs in the first 16 games, and he keeps up this pace throughout the 162-game season.
(a) Express the number y of home runs in terms of the number x of games played.
(b) How many home runs will the player hit for the season? (Round your answer to the nearest whole number.)
I have (a) as y=7x/16 but not for sure how to figure out (b)
slope=7/16
HR=7/16 * GamesPlayed
To find out how many home runs the player will hit for the season, you can substitute the total number of games played, which is 162, into the equation from part (a).
(a) The equation expressing the number of home runs y in terms of the number of games played x is:
y = 7x/16
(b) To find out how many home runs the player will hit for the season, substitute 162 for x in the equation:
y = 7 * 162 / 16
Calculating this expression:
y = 1143 / 16 ≈ 71.44
Rounding to the nearest whole number, the player is projected to hit 71 home runs for the season.
To find the number of home runs the player will hit for the season, we can use the equation derived from part (a): y = 7x/16, where y is the number of home runs and x is the number of games played.
In this case, we are considering a 162-game season. To find the number of home runs for the player throughout the season, we substitute x = 162 into the equation:
y = 7(162)/16
Now we can simplify and calculate the result:
y = 1134/16
y = 70.875
Since we are rounding to the nearest whole number, the player is expected to hit approximately 71 home runs for the season.