A grocery store sells milk in half-gallon containers. If 1 Cup equals 16 tablespoons and 1 gallon equals to 16 cups which of the following is the number of tablespoons in each half gallon container?

In this scenario, we're told that as the number of hours worked increases, several other quantities also increase. That means:

• The number of hours worked is causing the changes in other variables.
• The other values (taxes, savings, sick leave) depend on it.

So, the independent variable is the one that doesn't depend on other variables — it's the input or cause.

Correct answer: D. Number of hours worked

We are given:

• 8 servings of fried rice use 6 oz of peas.
• We need to find how many servings use 100 oz of peas.
• The relationship is proportional.

Step 1: Set up the proportion

=

Step 2: Solve for x

x=8×100/6=800/6≈133.33

Rounding to the nearest whole number:

133​

Correct answer: D. 133

To find the mean of the data, add all the values and divide by the number of values.

Given values:

• 1.34
• 0.18
• 2.1
• 0.77
• 1.41

Step 1: Sum the values

1.34+0.18+2.1+0.77+1.41=5.8

Step 2: Divide by the number of values

There are 5 values:

5.8/5=1.16

Correct answer: C. 1.16

We are told:

• 3.2 inches of tape is needed per inch of diameter
• The tube has a diameter of 5 inches

Step: Multiply

3.2×5=16 inchesoftape

Correct answer: A. 16 inches

We are given:

• Daily charge: $23 per day
• Mileage charge: $0.42 per mile
• Rented for 3 days
• Driven 125 miles

Step 1: Calculate the daily rental cost

3days×23=69dollars

Step 2: Calculate the mileage cost

125miles×0.42=52.50dollars

Step 3: Total bill

69+52.50=121.50

Correct answer: C. $121.50

Let’s define the total cost for each restaurant:

• Restaurant A: Charges $100 + $20 per person

CostA=100+20x

• Restaurant B: Charges $25 + $25 per person

CostB=25+25x

We want to find the number of people x where the costs are equal:

Step 1: Set the costs equal

100+20x=25+25x

Step 2: Solve for x

Subtract 20x from both sides:

100=25+5x

Subtract 25 from both sides:

75=5x

Divide by 5:

x=15

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’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 asked to find the probability that a PN or an RN is a female.

Let’s break it down using the table:

Total staff:

• Male PN: 30
• Male RN: 50
• Female PN: 50
• Female RN: 70

Total staff = 30 + 50 + 50 + 70 = 200

Total female PNs and RNs:

• Female PN: 50
• Female RN: 70

Total females = 50 + 70 = 120

Now calculate the probability:

P(female)=1202/00=3/5P

Correct answer: A. 3/5