This table shows the income of each team
5.Number of teams League income
2 1430
6 4290
9 6435
10 7150
s l
Which expression could be used to find l the income the soccer league would earn if it had s teams
A.715s
B.s+2145
C.1430s
D.s+2860
A
I agree.
To find the expression that represents the income "l" the soccer league would earn if it had "s" teams, you need to consider the pattern in the given table.
The table shows that as the number of teams increases, the league's income also increases. Specifically, the income seems to increase by a consistent amount for each additional team.
To determine the amount by which the income increases for each team, you can calculate the ratio of the change in income to the change in the number of teams.
Calculating the ratios for the given table:
For the change from 2 teams to 6 teams:
Change in income: 4290 - 1430 = 2860
Change in number of teams: 6 - 2 = 4
Ratio: 2860 / 4 = 715
For the change from 6 teams to 9 teams:
Change in income: 6435 - 4290 = 2145
Change in number of teams: 9 - 6 = 3
Ratio: 2145 / 3 = 715
For the change from 9 teams to 10 teams:
Change in income: 7150 - 6435 = 715
Change in number of teams: 10 - 9 = 1
Ratio: 715 / 1 = 715
From the ratios calculated, it is clear that the income increases by 715 units for each additional team.
Therefore, the correct expression to find the income "l" would be Option A: 715s.
By multiplying the number of teams "s" by 715, you will get the income "l" that the soccer league would earn if it had "s" teams.