To determine how many more dollars the football team's payroll is compared to the basketball team's payroll, given the total payroll for the basketball team is [tex]\( \$2.47 \times 10^9 \)[/tex] dollars, we need to compare each football team's payroll option to the basketball team's payroll by calculating the difference. Let's go through each of the options provided:
1. First option: [tex]\( \$1.3 \times 10^{11} \)[/tex]
Difference:
[tex]\[
1.3 \times 10^{11} - 2.47 \times 10^9
\][/tex]
[tex]\[
1.3 \times 10^{11} - 2.47 \times 10^9 = 127530000000 \text{ dollars}
\][/tex]
2. Second option: [tex]\( \$2.5753 \times 10^{11} \)[/tex]
Difference:
[tex]\[
2.5753 \times 10^{11} - 2.47 \times 10^9
\][/tex]
[tex]\[
2.5753 \times 10^{11} - 2.47 \times 10^9 = 255060000000 \text{ dollars}
\][/tex]
3. Third option: [tex]\( \$2.5753 \times 10^9 \)[/tex]
Difference:
[tex]\[
2.5753 \times 10^9 - 2.47 \times 10^9
\][/tex]
[tex]\[
2.5753 \times 10^9 - 2.47 \times 10^9 = 105300000 \text{ dollars}
\][/tex]
4. Fourth option: [tex]\( \$0.13 \times 10^9 \)[/tex]
Difference:
[tex]\[
0.13 \times 10^9 - 2.47 \times 10^9
\][/tex]
[tex]\[
0.13 \times 10^9 - 2.47 \times 10^9 = -2340000000 \text{ dollars}
\][/tex]
Summarizing, the differences calculated for each option are:
- [tex]\( \text{Option 1: } 127530000000 \text{ dollars} \)[/tex]
- [tex]\( \text{Option 2: } 255060000000 \text{ dollars} \)[/tex]
- [tex]\( \text{Option 3: } 105300000 \text{ dollars} \)[/tex]
- [tex]\( \text{Option 4: } -2340000000 \text{ dollars} \)[/tex]
Thus, the differences indicate how many more dollars (or fewer, in the case of the fourth option where the value is negative) each football team payroll is compared to the basketball team's payroll.
