As the number of credit hours a student takes in a semester increases, the amount of tuition, the amount of access fees, and the number of student loans available also increase. Which of the following is the independent variable?

We let x represent the amount of vanilla in mL, since this is what the question is asking us to find.

Next, we will set up a proportion with number of teaspoons on the numerator and amount in mL in the denominator.

Cross-multiply to find the value of x

A recipe of 2.5 teaspoons equals 12.325 mL.

We required to find the units of finding the weight of a spoon. The mass is measured in kilogram and grams. Kilograms are used to measure the mass of heavier objects while grams for small and lighter objects.

Thus, gram is the appropriate unit for measuring weight of a spoon.

To calculate the percentage increase in client volume, use the formula:

PercentageIncrease×100

Step 1: Identify values

• Old Value (Year 1): 841 clients
• New Value (Year 2): 1,072 clients

Step 2: Compute the increase

1,072−841=231

Step 3: Calculate the percentage increase

×100 ≈ 27.47%

Step 4: Choose the closest answer

The closest option is 27%.

To find the cost-effective option, we need to find how much the consumer will spend for the given options:

2 packs of Orange and 1 pack of Cream Soda will cost $18+$5= $23

3 Packs of Orange will cost $18+$10=$28

2 packs of Root Beer and 1 pack of Cream Soda will cost 2($12)+$5=$29

5 packs of cream Soda will cost 5($5)=$25

From the above evaluation, the consumer will spend $23 for a cost effective package of soft drinks. Thus, 2 packs of Orange and 1 pack of Cream Soda will be cheaper to purchase compared to other options.

The slope represent the ratio between the vertical height to the horizontal length. Let x be the minimum length of the ramp, we can set a proportion with height on the numerator and length on denominator. Then,

Cross-multiply to find the value of x

Thus, the minimum length of the ramp needed is 30 feet to access to a door that is 2.5 feet above the sidewalk.

We use the calculator to determine the positive square root of 20, which is then multiplied by 20.

Using the calculator,

Multiplying the square root above with 10 becomes

The approximate value is 44.7.

By inspection, we find the corresponding values of the given denominations in the following manner.

The mean of a data set is the total scores divided by the number of tests.

Total test scores =100+78+47+84+93+78=480

Number of tests =6

Mean test score =480/6=80

The mean test score is 80.

Let x be the employee's salary before the raise. The employee received a 20% raise, so the new salary is:

x+0.2x=60,000

Step 1: Factor out x

1.2x=60,000

Step 2: Solve for x

x=60,000/1.2=50,000

A change in number of credit hours result in a change in the amount of access fees, amount of tuition, and availability of student loans. Thus, number of credit hours is the independent variable.