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part a: by percent a circle graph represents a whole, divided into sect…

Question

part a: by percent
a circle graph represents a whole, divided into sections.
one type of circle graph is called a percent circle, because it is divided into 100 equal sections.

  1. read the circle graph to answer:

a) what percent of students have part - time paid work?
b) what is the type of work done by the highest percent of students?
c) if 200 students were surveyed for this graph, how many students volunteer?

  1. a family recorded their monthly spending in a table.

complete the table. the first one is done for you.
category
clothes
charity
entertainment
food
rent
transportation
other
total
amount per month
$300
$20
$80
$400
$900
$220
$80
$2000
percent of budget = amount spent / total x 100%

Explanation:

Step1: Analyze circle - graph problem

For part 1 of the circle - graph problem, we need to read the graph to answer questions about student work. For part 2, we use the formula $\text{Percent of Budget}=\frac{\text{Amount spent}}{\text{total}}\times100\%$ to calculate percentages for family monthly spending.

Step2: Answer part 1 questions

a) Without seeing the actual circle - graph clearly, we assume we read the percentage of students with part - time paid work from the graph. If it is 30% as written, the answer is 30%.
b) We identify the type of work done by the highest percent of students from the graph.
c) If 10% of students volunteer and 200 students were surveyed, we calculate the number of volunteer students as $0.1\times200 = 20$.

Step3: Answer part 2 questions

The calculations for the table are correct as shown. For example, for clothes: $\frac{300}{2000}\times100 = 15\%$, for charity: $\frac{20}{2000}\times100\%=1\%$, for entertainment: $\frac{80}{2000}\times100\% = 4\%$, for food: $\frac{400}{2000}\times100\%=20\%$, for rent: $\frac{900}{2000}\times100\% = 45\%$, for transportation: $\frac{220}{2000}\times100\%=11\%$, for other: $\frac{80}{2000}\times100\% = 4\%$.

Answer:

1.
a) 30%
b) (Answer depends on the circle - graph, not clear from the image)
c) 20
2.

CategoryAmount per MonthPercent of Budget
Charity$201%
Entertainment$804%
Food$40020%
Rent$90045%
Transportation$22011%
Other$804%
Total$2000100%