Question

the table shows information about the number of students who play different sports in a school district.

sport	number of students
football	$2^4$ times as many students as tennis
soccer	2 times as many students as baseball
tennis	$2^7$

order the sports from least student participation (top) to greatest student participation (bottom).

keyboard help

tennis
soccer
baseball
football

Explanation:

Step1: Calculate Tennis student count

$2^7 = 128$

Step2: Calculate Football student count

$2^4 \times 2^7 = 2^{4+7} = 2^{11} = 2048$

Step3: Calculate Soccer student count

$2 \times 2^9 = 2^{1+9} = 2^{10} = 1024$

Step4: Calculate Baseball student count

$2^9 = 512$

Step5: Compare all values

$128 < 512 < 1024 < 2048$

Answer:

1. Tennis
2. Baseball
3. Soccer
4. Football