Help 1.how do you make your estimate on different quantities like time, angle, temperature and rate?

2.was your estimate as good as the actual measurement?

3.what difficulties did you encounter in making your estimate?​

See Explanation

Step-by-step explanation:

Note: This question is more of an opinion. The answers I will provide will be base on my personal encounters with the given quantities.

Solving (1): Estimates of the given quantities

To make estimates, you employ the use of measuring device of each quantity.

For instance:

Time Clock

Angle Protractor

Temperature Thermometer

Rate This solely depend on the rate that is being measured (e.g. speedometer for speed)

Solving (2): Estimate and Actual measurement

In my case, the answer is yes because I have mastered the use of each device.

Solving (3): Difficulties

Some of the difficulties that may be encountered when taking estimates are:

- Using the wrong tools

The absence of the right measuring devices or alternate devices will definitely not give an accurate result

(e.g it will be difficult to measure an angle with a ruler)

- Unstable environments

Stable environments give accurate results.

(e.g It may be difficult to measure the speed of a car when it does not move at a constant speed; In this case, you may opt for the instantaneous speed)

- Poorly calibrated or un-calibrated devices

When a device is not calibrated properly, the device will give wrong measurements.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: