Question

In an effort to plan out expenses, the Roberts family is representing its annual budget as a circle graph. Each sector of the graph is proportional to the amount of the budget it represents. If "clothes and shoes" takes up 54\degree of the chart, how much of the Roberts's 20,000 annual budget is dedicated to clothes and shoes?

• A. $1,500
• B. $3,000
• C. $4,500
• D. $5,000
• E. $5,400

Hint:

To calculate a budget based on a pie chart, use the ratio of the angle of the sector to the total angle of the circle (360\degree).

Answer 1

The Correct Option is D

Step 1: Proportion of the chart for clothes and shoes.
Since 54\degree of the circle represents clothes and shoes, the proportion is: \[ \frac{54}{360} = \frac{x}{20000} \] where \( x \) is the amount spent on clothes and shoes. Step 2: Solve for \( x \).
\[ x = \frac{54}{360} \times 20000 = 0.15 \times 20000 = 5000 \] Final Answer: \[ \boxed{5000} \]