a. Write an inequality that describes this situation. Let c represent the number of cans of food that must be collected by the end of the third week for your class to meet or surpass its goal.

b. How many cans are needed to meet or surpass the goal?

9 answers

a. An inequality that represents this situation would be:
c ≥ 100

b. To meet or surpass the goal, at least 100 cans of food must be collected by the end of the third week.
Your class hopes to collect at least 325 cans of food for the annual food drive. There were 135 cans donated the first week and 89 more the second week.

a. Write an inequality that describes this situation. Let c represent the number of cans of food that must be collected by the end of the third week for your class to meet or surpass its goal.

b. How many cans are needed to meet or surpass the goal?
a. The inequality that describes this situation can be written as:
c ≥ 325

b. To determine how many cans are needed to meet or surpass the goal, we need to find the total number of cans collected by the end of the third week. The first week, 135 cans were donated. The second week, 89 more cans were donated. Therefore, the total number of cans collected after the second week is 135 + 89 = 224 cans. To calculate how many more cans are needed to meet or surpass the goal, we subtract the total collected cans from the goal:

325 - 224 = 101 cans.

Therefore, at least 101 more cans are needed to meet or surpass the goal of 325 cans.
less words
a. c ≥ 325

b. At least 101 cans are needed.
less words but still give me the steps for b
To determine how many cans are needed to meet or surpass the goal:
1. Add the number of cans donated in the first and second week: 135 + 89 = 224.
2. Subtract the total number of cans collected from the goal: 325 - 224 = 101.
3. At least 101 cans are needed to meet or surpass the goal.
b + 12 - 2(b - 22) > 0
To solve the inequality b + 12 - 2(b - 22) > 0, we can follow these steps:

1. Distribute the negative sign to the terms inside the parentheses: b + 12 - 2b + 44 > 0.
2. Combine like terms: -b + 56 > 0.
3. Subtract 56 from both sides of the inequality: -b > -56.
4. Multiply both sides by -1 to change the direction of the inequality (be careful to flip the inequality sign): b < 56.

Therefore, the solution to the inequality is b < 56.