1)More than 450 students went on a field trip. Ten buses were filled and 5 more students traveled in a car.
a) Write an inequality to represent the situation. Be sure to define your variable.
b) Solve the inequality to find the minimum number of people on each bus.
b=# of people on each bus
10b+5>450
b>44.5
the minimum is 45 people on each bus
2)More than 450 students went on a field trip. Ten buses were filled and 5 more students traveled in a car.
a) Write an inequality to represent the situation. Be sure to define your variable.
b) Solve the inequality to find the minimum number of people on each bus.
h=# of hours
$2h+$10<$27
h<8.5 hrs
8.5 hrs is maximum amount of hours she rented the bike out for.
3) Elisa won 40 lollipops playing basketball at the school fair. She gave two to every student in her math class.
She has at least 7 lollipops left.
a) Write an inequality to represent the situation. Be sure to define your variable.
b) Solve the inequality to find the maximum number of students in her class.
t=# of students in Elisa's class
40-2t is greater than or equal to 7
t is less than or equal to 16.5
elisa's has at least 16 students in her class.
*Please check my work!
4 + 5x less than or equal to 26
1. Subtract 4 to 26 = 22
2. Divide 22 by 5
3. X less than or equal to $4.40
16
$4.40
For question 1, your inequality representation and solution are correct. The minimum number of people on each bus is indeed 45.
For question 2, your inequality representation is incorrect. The inequality should reflect that the total cost of renting a bike for h hours plus $10 is less than $27. Here's the corrected version:
h = number of hours
$2h + $10 < $27
To solve this inequality, subtract $10 from both sides:
$2h < $17
Then, divide both sides by $2:
h < 8.5
So, the maximum amount of hours she rented the bike out for is indeed 8.5 hours.
For question 3, your inequality representation and solution are correct. The maximum number of students in Elisa's class is indeed 16 students. Well done!
Overall, your work is correct for all three questions. Keep up the good job!