To determine the cost of a meal, the restaurant considers the quantity of the meal, the number of toppings, and the types of spices. Which of the following is the dependent variable?

we find the value of x by applying the absolute conditions to the given equation.

First, add 2 to both sides of equation

Add 10 to both sides of the equation

Next, we apply the absolute rule:

If u=a, a>0, then u=a or u=-a

In this case a=5, which is greater 0.

The first condition becomes

Solving for x

The second condition becomes

Solving for x

Then, the value of x is -4/3 or 2.

The range of a data set is calculated as:

Range=MaximumValue−MinimumValue

From the given bar graph:

• The minimum number of goals scored is 0.
• The maximum number of goals scored is 5.

Thus, the range is:

5−0=5

The range is a simple measure of statistical dispersion that shows the spread between the highest and lowest values in a data set.

Formula for Range:

Range=MaximumValue−MinimumValue

Example Calculation:

From the given box plot:
Identify the maximum value: 92

1. Identify the minimum value: 12
2. Subtract the minimum from the maximum: 92−12=80

Thus, the range of this data set is 80.

To round 24.375 kg to the nearest tenth (0.1 place), follow these steps:

1. Identify the tenth place in 24.375:
   • Tenth place: 3 (24.375)
   • Hundredths place: 7 (the next digit after the hundredths place)
2. Apply rounding rules:
   • If the hundredths place is 5 or greater, round up the tenth place.
   • Since 7 is in the hundredths place, round 24.3 up to 24.4.

 the percentage change in weight is found by calculating change in weight over original multiplied by 100%.

First, find the change in weight over the 3 months

Change in weight lost= 1860-130=30 lb

Thus

The percent change in weight is 19% to the nearest whole number.

we convert the given value in yards to the cm by setting up the equation below.

2 yards is equal to 182.88 cm, which is approximately 180 cm.

we are asked to find the number of cups of flour that will be used to make 130 cookies.

First, we convert 3 ¼ into improper fraction as:

Letting x to be the number of cups of flour, we set up a proportion equation with number of cookies on numerator and number of cups of flour on the denominator becomes:

Solve the value of x by cross-products

Dividing both sides by 64, the above equation result to

Thus, the number of cups of flour needed to make 130 cookies is 845/128 cups, which is equal to 6 77/128 cups.

The scatter plot showing the relationship between the number of absences in a semester and students’ final exam scores. The trend shows that as absences increase, exam scores decrease.

This represents a Negative Correlation because:

• When one variable (absences) increases, the other variable (exam score) decreases.
• The points on the scatter plot trend downward from left to right.

The initial step is to convert the decimal options to fractions. Then, we find the LCM of the denominators of all fractions, which will be used to compare the values of the given options.

-0. becomes -9/10

-1.7 becomes -17/10

Then, the resulting denominators are 9, 10, and 63. Their LCM of 630 is used to multiply each fraction.

-2/9*630=-140

-9/10*630=-567

-17/10*630=-1071

-4/7*630=-360

From the calculations above, -140 is the greatest value of all the values. Thus, -2/9 is the greatest number.

To determine the correct coordinates of the point shown on the graph, follow these steps:

1. Identify the x-coordinate: Count the number of units the point is to the right or left of the y-axis. The point is at 5 on the x-axis.
2. Identify the y-coordinate: Count the number of units the point is above or below the x-axis. The point is at -8 on the y-axis.
3. The correct coordinates are (5, -8).

Looking at the answer choices:

• A. (5, -8) → Correct
• B. (-5, 8) → Incorrect
• C. (-8, 5) → Incorrect
• D. (8, -5) → Incorrect

Final Answer:

A. (5, -8)