Question

After her first 4 games, Julie averaged 8 points per game. After 7 games, she is nowaveraging 10 points per game. If she scored 9 points in her 5th game, what was heraverage for the 6th and 7th game?

Answer 1

Given in the question:

a.) After her first 4 games, Julie averaged 8 points per game.

b.) After 7 games, she is now averaging 10 points per game.

c.) She scored 9 points in her 5th game.

Let's breakdown the values,

A.) In her first 4 games, Julie averaged 8 points per game.

Thus, we can assume:

X1 = First game = 8 Points

X2 = Second game = 8 Points

X3 = Third game = 8 Points

X4 = Fourth game = 8 Points

B.) She scored 9 points in her 5th game.

Thus, we can assume:

X5 = Fifth game = 9 Points

C.) After 7 games, she is now averaging 10 points per game.

Let,

P = Total points for the 6th and 7th games.

In formula, we get,

`\frac{X1\text{ + X2 + X3 + X4 + X5 + P}}{7}\text{ = 10 Points}`

Let's plug in the values of the other given to get the average points for the 6th and 7th games.

`\frac{X1\text{ + X2 + X3 + X4 + X5 + P}}{7}\text{ = 10 Points}`
`\frac{8\text{ + 8 + 8 + 8 + 9 + P}}{7}\text{ = 10}`
`41\text{ + P = (10)(7)}`
`41\text{ + P = 7}0`
`\text{P = 7}0\text{ - 41}`
`\text{ P = 29}`
`\text{Average for the 6th and 7th game = }(P)/(2)`
`=\text{ }(29)/(2)`
`\text{Average for the 6th and 7th game = 14.5 }\approx\text{ 15 Points}`

Therefore, she averages 15 Points in her 6th and 7th games.