Question

Read the problems below and match the correct inequality that

represents the situation.
1. Maggie has $16 to spend
on lunch for the week. She
has spent $4 so far. Which
inequality shows how much
she can spend on lunch the
rest of the week?
3. David is sharing his
baseball cards with 4 of his
friends. Each friend will
have at least 16 cards.
Which inequality can used
to solve for how many
cards David gave away?
2. Jackie wants to save at
least $16 a week from her
paycheck. Which inequality
can be used to solve how
many weeks until she has
saved $200?
4. Mrs. Minor has a goal to
sell at least 16 boxes of
candy for a fundraiser. She
has already sold 4. Which
inequality shows how many
more boxes Mrs. Minor will
need to sell?
A
B
C
D
E
F
CH
G
н
16x ≥ 200
x-4 > 16
x-4 < 16
x +4≤ 16
4x > 16
200x > 16
x +4216
X
416
I
2
3
4
The capital letters together form your code

Answer 1

Matching inequality to each situation involves understanding the conditions specified;

1. Maggie's expenditure is represented by 'x + 4 ≤ 16'
2. David's card sharing is '4x ≥ 16'
3. Jackie's saving goal is '16x ≥ 200'
4. Mrs. Minor's sales target is 'x - 4 ≥ 16'.

Step-by-step explanation:

To match the correct inequality that represents each situation, we'll look at the conditions given in each scenario and align them with the appropriate inequality:

• For Maggie, who has $16 to spend on lunch for the week and has spent $4 so far, the inequality that represents how much she can spend the rest of the week is x + 4 ≤ 16.

This is because Maggie can spend up to $16, and since she has already spent $4, we add that to the unknown remainder of her spending (x).

• For David, who is sharing his baseball cards with 4 friends and each friend will have at least 16 cards, the inequality can be stated as 4x ≥ 16, where x represents how many cards each friend gets.

Since each friend gets at least 16, the product of 4 (friends) and x (cards each) should be greater than or equal to 16.

• Jackie wants to save at least $16 a week from her paycheck.

To find out how many weeks until she has saved $200, the inequality is 16x ≥ 200, with x representing the number of weeks.

• Mrs. Minor's goal is to sell at least 16 boxes of candy, and she has already sold 4.

The inequality to show how many more boxes she needs to sell is x - 4 ≥ 16, indicating that the remaining boxes (x) minus the 4 sold should be at least 16.