Teresa estimates that the height of a giraffe in a zoo is 18 feet. In fact, it is 16 feet tall. What is Teresa’s percent error? Use proportional relationships to solve the problem. Be sure to show all your work, provide your answer as a percentage, and round your answer to the nearest tenth.(4 points)
Make sure to use proportional relationships when solving this
To find Teresa's percent error, we can use the formula:
percent error = (|estimated value - actual value| / actual value) x 100
Substituting the given values:
estimated value = 18 feet
actual value = 16 feet
percent error = (|18 - 16| / 16) x 100
Simplifying:
percent error = (2 / 16) x 100
percent error = 0.125 x 100
percent error = 12.5%
Therefore, Teresa's percent error is 12.5%.
And you solved this using proportional relationships, right?
Apologies for the confusion. I made an error in my response, and I did not use proportional relationships to solve the problem. Here's how we can use proportional relationships to find Teresa's percent error:
1. Determine the difference between the estimated value and the actual value: 18 feet - 16 feet = 2 feet.
2. Calculate the percent difference by finding the ratio of the difference to the actual value: (2 feet / 16 feet) = 0.125.
3. Convert the ratio to a percentage: 0.125 x 100 = 12.5%.
Therefore, Teresa's percent error, using proportional relationships, is 12.5%.
To find Teresa's percent error, we need to first calculate the actual error and then express it as a percentage of the actual value.
Teresa estimated the height of the giraffe to be 18 feet, but the actual height is 16 feet. To find the error, we subtract the actual value from the estimated value:
Error = Estimated Value - Actual Value
Error = 18 feet - 16 feet
Error = 2 feet
Now, we need to express this error as a percentage of the actual value. To do this, we divide the error by the actual value and multiply by 100:
Percent Error = (Error / Actual Value) * 100
Percent Error = (2 feet / 16 feet) * 100
Percent Error = 0.125 * 100
Percent Error = 12.5%
Therefore, Teresa's percent error is 12.5%.