Question

Jocelyn estimates that a price of wood measures 5.5 cm. If it actually measures 5.62 cm, what is the percent error of Jocelyn's estimate?

Answer 1

The percent error of Jocelyn's estimate is 2.14 .

Explanation:

Formula

`Percentage\ error = (Error* 100)/(exact\ value)`

Where

`error = \left | approx\ value - exact\ value \right |`

As given

Jocelyn estimates that a price of wood measures 5.5 cm.

If it actually measures 5.62 cm.

approx value = 5.5 cm

exact value = 5.62 cm

Put in the error formula

`error = \left | 5.5 - 5.62 \right |`

`error = \left | -0.12\right |`

error = 0.12

Put in the formula

`Percentage\ error = (0.12* 100)/(5.62)`

`Percentage\ error = (12)/(5.62)`

Percentage error = 2.14 (Approx)

Therefore the percent error of Jocelyn's estimate is 2.14 .