## Your homemade pasta sauce recipe calls for 4 ounces of olive oil. You mistakenly use 3 3/4 ounces what is the relative error?

Question

Your homemade pasta sauce recipe calls for 4 ounces of olive oil. You mistakenly use 3 3/4 ounces what is the relative error?

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3 months 2022-02-15T17:40:59+00:00 1 Answer 0 views 0

1. The relative error is: 0.0625 or 0.0625 * 100 = 6.25%

Step-by-step explanation:

Relative error is given by the formula:

$$Relative\ error = \frac{absolute\ error}{Actual\ Value}$$

While the absolute error is given by:

$$Absolute\ Error = |Measured – Actual|$$

Given

Required Sauce = Actual = 4 ounces

Added Sauce = Measured = 3 3/4 = 15/4 ounces

So,

$$absolute\ error = |\frac{15}{4} – 4|\\= |\frac{15-16}{4}|\\=|\frac{-1}{4}|\\= \frac{1}{4} => 0.25$$

Putting the values in the formula

$$Relative\ error = \frac{0.25}{4} = 0.0625$$

Hence,

The relative error is: 0.0625 or 0.0625 * 100 = 6.25%

Keywords: Relative error, error