Unit 3 Review

Front

What is percent error?

Back

Percent error is a measure of how inaccurate a measurement is, expressed as a percentage of the actual value. It is calculated using the formula: Percent Error = |(Measured Value - Actual Value)| / Actual Value * 100%.

Front

How do you calculate percent error if the measured length is 12 cm and the actual length is 14.25 cm?

Back

Percent Error = |(12 - 14.25)| / 14.25 * 100% = 15.79%.

Front

What is the equation for a direct variation?

Back

The equation for a direct variation is of the form y = kx, where k is a constant.

Front

What does it mean if a relationship is proportional?

Back

A proportional relationship means that two quantities maintain a constant ratio, and can be represented by a straight line through the origin on a graph.

Front

What is the difference between direct variation and non-proportional relationships?

Back

Direct variation has a constant ratio (y = kx), while non-proportional relationships do not maintain a constant ratio and may not pass through the origin.

Front

Is the equation y = 8x a direct variation?

Back

Yes, y = 8x is a direct variation because it can be expressed in the form y = kx, where k = 8.

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is y = 2x + 3, which does not pass through the origin.

Front

How can you identify a direct variation from a table of values?

Back

A direct variation can be identified from a table of values if the ratio of y to x is constant for all pairs of values.

Front

What is the significance of the constant 'k' in direct variation?

Back

The constant 'k' in direct variation represents the rate of change or the constant of proportionality between the two variables.

Front

If y = 8x, what is the value of y when x = 2?

Back

When x = 2, y = 8 * 2 = 16.