Question

1. ian measured the width of a painting he wants to put in his living room. he measured its width as 4.5 feet. the actual width is 4 feet. what is ian’s percent error?
2. a clothing store buys a dress for $15 and increases its purchase price by 250%. what is the sales price of the dress?
3. a television is marked down 22%. the original price was $580. what is the sale price of the television before sales tax?

Explanation:

Question 2:

Step1: Find the absolute error

The absolute error is the absolute value of the difference between the measured value and the actual value. So, \( |4.5 - 4| = 0.5 \) feet.

Step2: Calculate percent error

The formula for percent error is \( \text{Percent Error} = \frac{|\text{Measured Value}-\text{Actual Value}|}{\text{Actual Value}} \times 100\% \). Substituting the values, we get \( \frac{0.5}{4} \times 100\% \).

Step3: Simplify the expression

\( \frac{0.5}{4} = 0.125 \), and \( 0.125\times 100\% = 12.5\% \).

Step1: Find the increase amount

The increase is \( 250\% \) of the purchase price. First, convert the percentage to a decimal: \( 250\% = 2.5 \). Then, the increase amount is \( 15\times2.5 = 37.5 \) dollars.

Step2: Calculate the sales price

The sales price is the purchase price plus the increase. So, \( 15 + 37.5 = 52.5 \) dollars.

Step1: Find the discount amount

The discount is \( 22\% \) of the original price. Convert \( 22\% \) to a decimal: \( 22\% = 0.22 \). The discount amount is \( 580\times0.22 = 127.6 \) dollars.

Step2: Calculate the sale price

The sale price is the original price minus the discount. So, \( 580 - 127.6 = 452.4 \) dollars.

Answer:

\( 12.5\% \)

Question 3: