According to the table above, which of the following is the relationship between the slices of a cake and number of calories?
Slices of cake |
0 |
2 |
5 |
11 |
19 |
Calories |
0 |
960 |
2,400 |
5,280 |
9,120 |
Each slice of cake is 960 calories
There is a negative relationship between the two variables
Each slice of cake is 480 calories.
There is no direct relationship between the two variables.
Correct Answer : C
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=1,440 calories increase for 5−2=3 slices
1,4403=480 calories per slice
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.
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Explanation
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- The tube has a diameter of 5 inches
Step: Multiply
3.2×5=16 inchesoftape
Correct answer: A. 16 inches
Correct Answer is C
Explanation
We’re given:
- F = 41°
- Formula: C=5/9(F−32)/
Now substitute:
C=5/9(41−32) =5/9(9) =5
Correct answer: C. 5°
Correct Answer is C
Explanation
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
Correct Answer is D
Explanation
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).
Correct Answer is C
Explanation
We're told the ordered pair (3, 24) lies on the line representing the relationship between:
- x = number of lunches,
- y = total cost in dollars.
So, (3, 24) means:
When 3 lunches are ordered, the total cost is $24.
Correct answer: C. 3 lunches cost a total of $24
Let’s quickly rule out the others:
- A. Says each lunch is $24 — wrong.
- B. Reverses the values.
- D. Says 24 lunches cost $3 each — not related to (3, 24).
Correct Answer is D
Explanation
We are given:
- Bill = $43.20
- Gratuity = 15%
Step 1: Calculate 15% of $43.20
0.15×43.20=6.48
Step 2: Add the gratuity to the bill
43.20+6.48=49.68
Correct answer: D. $49.68
Correct Answer is C
Explanation
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
Correct Answer is D
Explanation
To find the percent of the population that is left-handed, use the data from the table:
Left-Handed:
- Male: 3
- Female: 4
- Total left-handed = 3 + 4 = 7
Total population:
- Male: 3 + 29 = 32
- Female: 4 + 34 = 38
- Total population = 32 + 38 = 70
Percent left-handed:
7/70×100=10%
Correct answer: D. 10%
Correct Answer is C
Explanation
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
Correct Answer is A
Explanation
The dependent variable is the one that depends on or is determined by other variables.
In this case:
- Price is determined by the model, mileage, and age
Correct answer: A. Price
Because it depends on the other factors listed.
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