The length of a basket is measured to be 13 inches, but the basket is actually 1 foot long. What is the percent error in the measurement?
First, we need to convert 1 foot to inches:
1 foot = 12 inches
Now we can calculate the absolute error:
Absolute error = actual value - measured value
Absolute error = 12 inches - 13 inches
Absolute error = -1 inch
Note that the absolute error is negative because the measured value is larger than the actual value.
Next, we can calculate the percent error:
Percent error = (absolute error / actual value) x 100%
Percent error = (-1 inch / 12 inches) x 100%
Percent error = -0.0833 x 100%
Percent error = -8.33%
Again, the negative sign indicates that the measured value is larger than the actual value. Therefore, we can say that the length of the basket was overestimated by 8.33%.
The price (p) of a lunch special is $8.50. The restaurant increases the price by 12%. Which statements are true for this situation?
To determine which statements are true for this situation, we can calculate the new price after the 12% increase.
First, we convert the percentage to a decimal:
12% = 0.12
Next, we calculate the amount of the increase:
Increase = 0.12 x $8.50
Increase = $1.02
Finally, we add the increase to the original price to find the new price:
New price = $8.50 + $1.02
New price = $9.52
Now we can evaluate the statements:
1. The new price is $9.52.
True, based on our calculation above.
2. The increase in price is $0.12.
False, the actual increase is $1.02.
3. The percent increase is less than 10%.
False, the percent increase is 12%.
4. The price of the lunch special is now too expensive.
This statement cannot be evaluated as it is subjective.
Jackie's restaurant bill was $23.50, and the tax was 8%. Jackie left a 20% tip on the post-tax bill. How much was the tip Jackie left?
First, we need to calculate the amount of tax on the bill:
Tax = 0.08 x $23.50
Tax = $1.88
Now we can calculate the total bill:
Total bill = $23.50 + $1.88
Total bill = $25.38
Next, we need to calculate the amount of the tip based on the post-tax bill:
Tip = 0.20 x $25.38
Tip = $5.08
Therefore, Jackie left a tip of $5.08.
Shayla's rideshare fare from the airport was $28.50, and she added a 15% tip. How much did Shayla pay in total?
First, we need to calculate the amount of the tip:
Tip = 0.15 x $28.50
Tip = $4.28
Now we can calculate the total cost:
Total cost = $28.50 + $4.28
Total cost = $32.78
Therefore, Shayla paid $32.78 in total.