A company orders boxed lunches from a nearby deli, which all cost the same price. The relationship between the number of lunches ordered, x, and the total cost in dollars of the lunches, y, can be represented by a line drawn on a coordinate plane. If the ordered pair (3,24) lies on the line. Which of the following information can be understood from the point?

We are given:

• Each person drinks 3 boxes of juice
• 38 people at the picnic
• 6 boxes per package

Step 1: Total boxes needed

38people×3boxesperperson=114boxes

Step 2: Number of packages needed

114boxes/6boxesperpackage=19packages

Best estimate (rounding up to ensure enough juice):

20packages

Correct answer: A. 20 packages

Let's convert all values to decimals to compare them:

1. 3/4 = 0.75
2. 70% = 0.70
3. 5/7 ≈ 0.714
4. 0.79 = 0.79

Now, arrange from least to greatest:

• 70% (0.70)
• 5/7 (≈0.714)
• 3/4 (0.75)
• 0.79

Final Answer (in order from least to greatest):

70%, 5/7, 3/4, 0.79

To find which fraction is between 2/3 ​ and 4/5, we can convert all fractions to decimals:

• 23≈0.666…
• 45=0.8

Now evaluate each option:

• A. 78=0.875 → Too big
• B. 57≈0.714 → Between
• C. 35=0.6 → Too small
• D. 58=0.625 → Too small

Correct answer: B. 5/7

Let's analyze the table to determine the relationship between slices of cake and calories.

We’ll use two points to find the calories per slice:

From the table:

• At 2 slices → 960 calories
• At 5 slices → 2,400 calories

Step 1: Find the difference

2,400−960=1,440caloriesincreasefor5−2=3slices

1,4403=480caloriesperslice

We can verify this with another pair:

• At 11 slices: 11×480=5,280
• At 19 slices: 19×480=9,120

Everything checks out.

Correct answer: C. Each slice of cake is 480 calories.

Let's rule out the others:

• A. Says 960 calories per slice — wrong.
• B. Says it's a negative relationship — incorrect, it’s positive.
• D. Claims no direct relationship — incorrect, it’s a linear relationship.

We're told the relationship is proportional and that the point (7, 157.5) lies on the line, meaning:

7 hours → $157.50

To find the hourly rate, divide total earnings by hours:

157.5/7=22.5

So, the employee earns $22.50 per hour.

Correct answer: D. Manaf earns $22.50 per hour

Let's briefly rule out the others:

• A. 22.5 hours is not mentioned in the original data.
• B. $7/hour is incorrect.
• C. $157.50/hour is incorrect (it's the total, not the rate).

We can solve this using a proportion, since the dose is directly proportional to the child's weight.

Step 1: Set up the proportion

20 mg/50 lb=x/ mg35 lb

Step 2: Solve for xxx

x =

=700/50

=14 mg

Correct answer: C. 14 mg

To find the area of the largest circle that can fit entirely inside a rectangle measuring 8 cm by 10 cm, we need to consider that:

• The largest possible circle that fits inside a rectangle is one where the diameter = the shorter side of the rectangle.

Step 1: Determine the diameter of the largest circle

The shorter side of the rectangle is 8 cm, so:

• Diameter = 8 cm
• Radius = 8 ÷ 2 = 4 cm

Step 2: Calculate the area of the circle

Area=πr2=π(4)2=16π cm2

Correct answer: A. 16π cm²

We’re given the equation:

=10

Step 1: Multiply both sides by 5

−x+36=50

Step 2: Subtract 36 from both sides

−x=14

Step 3: Multiply both sides by -1

x=−14

Correct answer: D. -14

We are given:

• Monthly income: $2,586.00
• Deductions:
  • Insurance: $517.20
  • Federal taxes: $299.33
  • Social security: $156.69
  • State taxes: $99.77

Step 1: Add all deductions

517.20+299.33+156.69+99.77=1,072.99

Step 2: Subtract from gross income

2,586.00−1,072.99=1,513.01

Correct answer: C. $1,513.01

Let's convert all the values to decimals for easy comparison:

• A. 4.4 → already in decimal
• B. 4.25 → already in decimal
• C. 10/3 = 3.33...
• D. 9/2 = 4.5

Compare all values:

• A: 4.4
• B: 4.25
• C: 3.33
• D: 4.5

Correct answer: D. 9/2 (which equals 4.5, the greatest value)