The city of Atlanta recently increased their sales tax from 7.5% to 8%. How much more tax would you pay on a $10 purchase?
A) $.01
B) $.05 ****
C) $.07
D) $.50
2.
Miguel conducts a survey of 750 college students to see how many of them have a part-time job. His results show that 500 of the 750 students have a part-time job. Kureshi also does a survey of college students to see how many of them have a part-time job. His results are NOT proportional to Miguel's. Which could represent Kureshi's Data?
A) 200 out of 300 students surveyed have a part time job
B) 700 out of 1100 students surveyed have a part time job
C) 800 out of 1200 students surveyed have a part time job
D) 1300 out of 1950 students surveyed have a part time job
1. yes
2. Reduce or simplify this fraction: 500/750
10(0.075)=.75
10(0.08)=.8
then subtract
0.8-0.75=0.05
B) 700 out of 1100 ⇒ 700/100 and 1100/100 ⇒ 7:11
B represents Kureshi's info because it is not proportional to the data of Miguel.
1) To calculate how much more tax would be paid on a $10 purchase after the sales tax increase from 7.5% to 8%, we first need to calculate the difference between the two tax rates.
The initial tax rate was 7.5%, which means that 7.5% of $10 is:
7.5/100 * $10 = $0.75
The increased tax rate is 8%, which means that 8% of $10 is:
8/100 * $10 = $0.80
To find the difference in tax amounts, we subtract the initial tax from the increased tax:
$0.80 - $0.75 = $0.05
Therefore, the correct answer is B) $0.05.
2) Since Miguel's survey results show that 500 out of 750 students have a part-time job, we can calculate the proportion:
500/750 = 2/3
Now, let's analyze the answer choices:
A) 200 out of 300 students surveyed have a part-time job
The proportion would be 200/300 = 2/3, which is equivalent to Miguel's data. Therefore, this could represent Kureshi's data.
B) 700 out of 1100 students surveyed have a part-time job
The proportion would be 700/1100, which is not equal to 2/3. Therefore, this does not represent Kureshi's data.
C) 800 out of 1200 students surveyed have a part-time job
The proportion would be 800/1200, which is not equal to 2/3. Therefore, this does not represent Kureshi's data.
D) 1300 out of 1950 students surveyed have a part-time job
The proportion would be 1300/1950, which is not equal to 2/3. Therefore, this does not represent Kureshi’s data.
Therefore, the correct answer is A) 200 out of 300 students surveyed have a part-time job.
To answer the first question, we need to calculate the difference in tax amount between a 7.5% sales tax and an 8% sales tax on a $10 purchase. Here's how you can do it:
Step 1: Calculate the tax amount at 7.5%:
Multiply 10 by 0.075 (7.5% expressed as a decimal):
10 x 0.075 = $0.75
Step 2: Calculate the tax amount at 8%:
Multiply 10 by 0.08 (8% expressed as a decimal):
10 x 0.08 = $0.80
Step 3: Calculate the difference in tax amount:
Subtract the tax amount at 7.5% from the tax amount at 8%:
$0.80 - $0.75 = $0.05
Therefore, the answer to the first question is B) $0.05. You would pay an additional $0.05 in tax on a $10 purchase due to the increase in sales tax rate in Atlanta.
For the second question, we need to analyze Kureshi's survey data and compare it to Miguel's survey data. Since Kureshi's results are NOT proportional to Miguel's results, we need to find an option that represents a different proportion of students with part-time jobs. Here's how you can approach it:
Step 1: Calculate the proportion of students with part-time jobs in Miguel's survey:
Divide the number of students with part-time jobs (500) by the total number of students surveyed (750):
500 / 750 = 0.6667
Step 2: Analyze each option to see if the proportions match:
Option A: 200 / 300 = 0.6667 (matches Miguel's proportion)
Option B: 700 / 1100 ≈ 0.6364 (does not match Miguel's proportion)
Option C: 800 / 1200 ≈ 0.6667 (matches Miguel's proportion)
Option D: 1300 / 1950 ≈ 0.6667 (matches Miguel's proportion)
Step 3: Identify the option that does not have the same proportion as Miguel's:
Based on the analysis, option B does not have the same proportion of students with part-time jobs as Miguel's survey. Therefore, the answer to the second question is B) 700 out of 1100 students surveyed have a part-time job.