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?

In direct proportion relation, we utilize the relationship as:

Variable∝Variable 2

Thus from the given case,

Force∝stretch

We introduce a constant term, K to remove the sign of proportionality as

Force=K* stretch

Let’s find the value of K, using Force=132 N and stretch of 0.07 m

132 N=K*0.07 m

K=132 N/0.07 m=1885.7 N/m

Now substitute this value of K in the following equation

Force=1885.7 N/m * stretch

For a stretch of 0.1 m, the force needed is

Force=1885.7 N/m * 0.1 m=188.57 N=188.6 N

In this case, we are measuring average weight of the babies with time. The weight of the babies will vary with time, meaning when we vary time, the average weight of the babies will be different. Here, time is independent while average weight is dependent variable.

The dimension of the field is shown below.

Area of rectangle = length * width

Area of rectangle = 100 m *75 m = 7500 m2

Area of the rectangle in hectares =

Independent is a variable that determines the outcome of the other variable. In this case, the credit hours determine how other three variables change. Thus, the number of credit hours is the independent variable.

We know that the two people work on the same work but the time to complete the work differs. Thus, the rate of doing the work for each person is as follows:

Rate of work for person A = 1 /2 work per hr

Rate of work for person B=1/3 work per hour

If person A and B work together, the time of doing the same work will be less than the fastest person A. Thus, we combine the two rates of A and B

We have 1 work and time to complete by both A and B becomes

Let two numbers be x and y. Then

Three time a number=3x

Eight times a different number = 8y

Sum of the two is 3x+8y

A negative correlation means as one variable increases, the other variable decreases or as one variable decreases, the other variable increases. Based on this definition, we analyze the given statement as follows:

People who play baseball more tend to have more hits is POSITIVE CORRELATION

Shorter people tend to weigh less than taller people is a POSITIVE CORRELATION

Tennis balls that are older tend to have less bounce is a NEGATIVE CORRELATION

Cars that are older tend to have higher mileage is a POSITIVE CORRELATION

Standard interior doors typically range from0.7 to 0.9 metersin width and 2.0 to 2.1 meters in height. Thus, the average width of the doorway is about 1.0 m.

From the given equation, the variable t is varied to obtain the value of f(t). This means that t is an independent variable, modified variable while f(t) is a dependent variable, a measured value.

Use the relation 1 teaspoon=4.93 mL to change 2.5 teaspoons to mL. Using the dimension analysis, the amount in mL is found as: