Question 1

Question

A) Sally wants to purchase a new snowblower for $349.99. The local sales tax is 7.5%. How much
sales tax will she have to pay? Round your answer to the nearest hundredth. (1 point)
$
Question 2
A) Ken, Mike, and Ariel are eating out at their favorite restaurant. They each order a sandwich
combo and plan to split the bill evenly. The service they receive at the restaurant is amazing, so
they decide to leave a 30% tip. Their bill total is $50.88 before tax. If Florida’s sales tax is 6%, how
much will each person pay? Both tip and tax are calculated based on the original total of the bill.
Round the tip and the tax to the nearest hundredth immediately after calculating. Round your final
answer to the nearest hundredth. (1 point)
$
Question 3
A) Shardell and Marsha are planning a party. Since they are both hosting, they have agreed to
split the cost for everything in half. The catering bill is $325, the venue bill is $250, and the DJ is
$375. If state tax is 9%, what will Shardell’s portion cost? (1 point)

Answer 1

Let's go through each question one by one.

Question 1

To calculate the sales tax on the snowblower:

1. Price of the snowblower: $349.99
2. Sales tax rate: 7.5% (or 0.075 in decimal form)

Sales Tax Calculation: \[ \text{Sales Tax} = \text{Price} \times \text{Sales Tax Rate} \] \[ \text{Sales Tax} = 349.99 \times 0.075 \] \[ \text{Sales Tax} = 26.2475 \]

Rounding this to the nearest hundredth gives: \[ \text{Sales Tax} = 26.25 \]

Thus, the answer is: $26.25

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Question 2

To find out how much each person will pay after including tax and tip:

1. Original bill total: $50.88
2. Sales tax rate: 6% (or 0.06 in decimal form)
3. Tip rate: 30% (or 0.30 in decimal form)

Sales Tax Calculation: \[ \text{Sales Tax} = \text{Bill Total} \times \text{Sales Tax Rate} \] \[ \text{Sales Tax} = 50.88 \times 0.06 \] \[ \text{Sales Tax} = 3.0528 \] Rounding gives: \[ \text{Sales Tax} = 3.05 \]

Tip Calculation: \[ \text{Tip} = \text{Bill Total} \times \text{Tip Rate} \] \[ \text{Tip} = 50.88 \times 0.30 \] \[ \text{Tip} = 15.264 \] Rounding gives: \[ \text{Tip} = 15.26 \]

Total Amount (Bill + Tax + Tip): \[ \text{Total Amount} = \text{Bill Total} + \text{Sales Tax} + \text{Tip} \] \[ \text{Total Amount} = 50.88 + 3.05 + 15.26 \] \[ \text{Total Amount} = 69.19 \]

Splitting the Total Amount: \[ \text{Each Person’s Share} = \frac{\text{Total Amount}}{3} \] \[ \text{Each Person’s Share} = \frac{69.19}{3} \] \[ \text{Each Person’s Share} = 23.0633 \]

Rounding gives: \[ \text{Each Person’s Share} = 23.06 \]

Thus, the answer is: $23.06

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Question 3

To calculate Shardell's portion of the party costs:

1. Catering bill: $325
2. Venue bill: $250
3. DJ bill: $375
4. State tax rate: 9% (or 0.09 in decimal form)

Total Costs before Tax: \[ \text{Total Costs} = \text{Catering} + \text{Venue} + \text{DJ} \] \[ \text{Total Costs} = 325 + 250 + 375 \] \[ \text{Total Costs} = 950 \]

State Tax Calculation: \[ \text{State Tax} = \text{Total Costs} \times \text{State Tax Rate} \] \[ \text{State Tax} = 950 \times 0.09 \] \[ \text{State Tax} = 85.5 \]

Total Cost including Tax: \[ \text{Total Cost with Tax} = \text{Total Costs} + \text{State Tax} \] \[ \text{Total Cost with Tax} = 950 + 85.5 \] \[ \text{Total Cost with Tax} = 1035.5 \]

Shardell’s Portion (half): \[ \text{Shardell's Portion} = \frac{\text{Total Cost with Tax}}{2} \] \[ \text{Shardell's Portion} = \frac{1035.5}{2} \] \[ \text{Shardell's Portion} = 517.75 \]

Thus, the answer is: $517.75

Answer 2

Question 4
A) A photography club would like to raise money for a local health organization by selling popcorn.
The club predicts they need to sell 250 bags of popcorn to reach their goal. At the end of the
fundraiser, they sold 266 bags of popcorn and met their goal. What is the percent error? Round
the answer to the nearest whole number. (1 point)
%
Question 5
A) Krisha has a chocolate Labrador retriever named Sam. She believes her dog weighs 60
pounds. Sam’s actual weight is 75 pounds. Find the percent error

Answer 3

Question 4: Percent Error for the Photography Club Fundraiser

To find the percent error, we can use the formula:

\[ \text{Percent Error} = \left( \frac{|\text{Actual Value} - \text{Expected Value}|}{\text{Expected Value}} \right) \times 100 \]

1. Expected Value (goal): 250 bags
2. Actual Value (bags sold): 266 bags

Calculating Percent Error:

\[ \text{Percent Error} = \left( \frac{|266 - 250|}{250} \right) \times 100 \] \[ \text{Percent Error} = \left( \frac{16}{250} \right) \times 100 \] \[ \text{Percent Error} = 0.064 \times 100 = 6.4 \]

Rounding to the nearest whole number gives: \[ \text{Percent Error} = 6% \]

Thus, the answer is: 6%

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Question 5: Percent Error for Sam's Weight

Using the same formula for percent error:

1. Expected Value (believed weight): 60 pounds
2. Actual Value (actual weight): 75 pounds

Calculating Percent Error:

\[ \text{Percent Error} = \left( \frac{|\text{Actual Value} - \text{Expected Value}|}{\text{Expected Value}} \right) \times 100 \] \[ \text{Percent Error} = \left( \frac{|75 - 60|}{60} \right) \times 100 \] \[ \text{Percent Error} = \left( \frac{15}{60} \right) \times 100 \] \[ \text{Percent Error} = 0.25 \times 100 = 25 \]

Thus, the answer is: 25%