Question

1.Grant drove his car for 417 miles on 15 gallons of gas. How many miles per gallons does Grant’s car get?

2.Annie can make 18 baskets out of 30 attempts. Her younger brother Cameron can make half as many in the same number of attempts. How many baskets can Cameron make in 50 attempts?
3.A model of the F/A-18 Hornet (a jet in the Navy) is 16 inches long. If the actual length of the jet is 56 feet, what scale was used for the model?
A. 1 inch = 2.5 feet
B. 1 inch = 3.5 feet
C. 1 inch = 4 feet
D. 1 inch = 4.5 feet
4.Of the 75 cars that Lindsay saw pass on the highway, 16% had an out-of-state license plate. How many had an out-of-state license plate?
5.The middle school track team consists of sixth, seventh, and eighth grade students. The 5 sixth grade and 9 seventh grade students make up 43.75% of the entire team. How many eighth grade students are on the team?
A. 16
B. 18
C. 20
D. 32
6.Mark bought a concert ticket for $88, then sold it for $121. By what percent did he mark the ticket up?
7.Nyla borrowed $3,425 from the bank at a simple interest rate of 13.5%. How much interest will the loan accrue after two years?
8.If $800 is deposited into a new savings account with a simple interest rate of 1.8%, what will be the total amount in the account after 15 years?
9.Colton is buying a new $1,700 camera to start a photography business. He plans to finance the camera and has two options. Option A offers a 18-month loan at simple interest rate of 4.5%. Option B offers a 3-year loan at a simple interest rate of 2.5%.
A. Option A; saving $323
B. Option B; saving $323
C. Option A; saving $12.75
D. Option B; saving $12.75

Answer 1

The questions are solved by applying mathematical concepts like unit conversions, proportions, and simple interest calculations. Answers include 27.8 miles per gallon for fuel efficiency, 15 baskets for Cameron's shots, and 18 eighth grade students on the track team, among others.

Step-by-step explanation:

The questions cover several areas of mathematics, including unit conversions, scale models, simple interest, and percentage calculations. Here are the answers to the questions provided:

1. Grant's car gets 417 miles / 15 gallons = 27.8 miles per gallon.
2. Cameron can make 18 baskets / 2 = 9 baskets out of 30 attempts. If we set up a proportion (9 baskets / 30 attempts = x baskets / 50 attempts), we solve for x to find that Cameron can make 15 baskets in 50 attempts.
3. The model of the F/A-18 Hornet uses the scale C. 1 inch = 4 feet.
4. 12 cars had an out-of-state license plate (16% of 75).
5. There are B. 18 eighth grade students on the track team.
6. Mark marked up the ticket by 37.5% (($121 - $88) / $88).
7. The loan will accrue $925.50 in interest over two years ($3,425 * 13.5% * 2 years).
8. The account will have a total of $972 after 15 years ($800 + $800 * 1.8% * 15 years).
9. The financing option that saves $12.75 is D. Option B; saving $12.75.