Question

Write your own word problem and share it with the group. then translate your problem into its resulting math equation. what steps would you then follow to solve for the variable?
write your own word problem that involves a multistep linear equation. then translate your problem into its resulting math equation. what steps would you then follow to solve for the variable? be sure to list your steps in the correct order.

think of a situation when someone would need to make a measurement with extreme precision. describe the setting, why the measurement must be so precise, and some of the consequences that might occur if it were not precise.

Answer 1

The translation of word problems into mathematics equations enables the determination and prediction of precise values in real life situations.

First part:

The work rate of one person if 3 people takes two days to do a job is given by the equation;

$\frac{1}{C} + \frac{1}{C} + \frac{1}{C} = \frac{3}{C} = \frac{1}{2}$

Which indicates that one person takes 6 days to get the same work done

Second part;

Where the costs of a combination of cakes and orange drinks can be expressed using the equations;

2•c + o = 0.4

3•c + 3•o = 0.9

It indicates that a cake costs $0.1, and an orange drink costs $0.2

Third part;

Precision is required to conduct a scientific experiment remotely

What is a word problem?

A word problem in science is the expression of sufficient or significant background information of a problem is given using every day language, rather than using mathematical notations.

First part;

An example word problem is as follows;

• It takes 3 people 2 days to get a particular work done. How long will it take one person to do the same work.

The translation of the above question is as follows;

Let C represent the work rate or the number of days one person takes to do the same work, we have;

$\frac{1}{C} + \frac{1}{C} + \frac{1}{C} = \frac{3}{C} = \frac{1}{2}$

Which gives;

$C = \frac{3}{ \frac{1}{2} } = 6$

The number of days it takes one person to do the work, C = 6 days

Second part;

A word problem that involves multi step linear equations is as follows;

• Two cakes and one orange drink costs $0.4. Three cakes and three orange drinks costs $0.9

How much does a cake cost

How much does an orange drink cost

Solution;

Let c represent the cost of a cake and let o represent the cost of an orange drink, we have;

2•c + o = 0.4...(1)

3•c + 3•o = 0.9...(2)

Multiplying equation (1) by 3 and subtracting equation (2) from the result, gives;

3×(2•c + o) - (3•c + 3•o) = 3×0.4 - 0.9

Which gives;

3•c = 0.3

c = 0.3/3 = 0.1

c = 0.1

The cost of one cake, c = $0.1

From equation (1), we have;

2•c + o = 0.4

Which gives;

2×0.1 + o = 0.4

o = 0.4 - 2×0.1 = 0.2

The cost of one orange drink, o = $0.2

Third part;

• A setting where someone will need to make a measurement with extreme precision is in determining the amount of fuel required to take an science experiment submarine vehicle to reach a predetermined depth in the ocean.

The consequence that might occur if the measurement were not precise is that the vehicle and equipment may not be able to make it back to the surface.

Learn more about word problems in mathematics here:

brainly.com/question/24218448

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