Question

Create your own proportion problems?

Answer 1

To create proportion problems, set up ratios between two quantities and solve for an unknown value. For example, finding distances on a scale drawing or converting measurements using a scale factor.

Step-by-step explanation:

To create proportion problems, you can set up ratios between two quantities and solve for an unknown value. For example:

Problem 1: The scale factor of a map is 1/800. If the actual distance between two places is 80 meters, what should be the distance on the scale drawing?

We can set up the proportion: 1/800 = x/80. Cross-multiplying, we get x = (1/800) * 80 = 0.1 meter.

Problem 2: The scale of a model car is 1:50. If the length of the car in the model is 0.5 inches, what is the actual length of the car? We can set up the proportion: 1/50 = 0.5/x. Cross-multiplying, we get x = (0.5) * 50 = 25 inches.

Answer 2

See Explanation

Step-by-step explanation:

Required

Proportion problems

An example is:

y is directly proportional to x such that: y=4 when x = 2;

Derive the equation

For direct proportions, we have:

`y\ \alpha\ x`

This gives:

`y = kx`

Make k the subject

`k = y/x`

So:

`k = 4/2 =2`

So, the equation is:

`y = kx`

`y = 2x`

Assume the above question is for inverse proportion

The variation will be:

`y\ \alpha\ (1)/(x)`

This gives:

`y\ = (k)/(x)`

Make k the subject

`k =x*y`

`k =2* 4 = 8`

So, the equation is:

`y\ = (k)/(x)`

`y = (8)/(x)`