Tony bowled 135 and 145 in his first two games. write and solve a compound inequality to find the possible values for a third ga
me that would give him an average between 120 and 130, inclusive. a.) 120 <= 135 +145+n/3 <=145; 120 <= n <= 140
b.) 135 <= 120 + 140 + n/3 <= 145; 80 <= n <= 85
c.) 120 < 135 + 145 + n/3 < 130; 80 < n < 110
d.) 120 <= 135 + 145 + n/3 <= 130; 80 <= n <= 110
The average has to be at least 120 and at most 130 To calculate the average we need the sum of all values divided by the number of values, in this case, three (135, 145 and the third result). 120 ≤ (135 + 145 + n)/3 ≤ 130
In inequalities like this, what we change in one side, must be changed in the othe rside as well. 360 ≤ 280 + n ≤ 390 80 ≤ n ≤ 110
Note that 2x-y=8 can be solved for y: y=2x-8. This is identical to the first equation. The graph of one is exactly the same as the graph of the other. Thus, the two equations are dependent.
