Question 1

Question

A)

Find the unit rate of miles per gallon for these vehicles.

(3 points)
Sedan:
miles_____ per gallon

Minivan:
miles ______ per gallon

Truck:
miles _____per gallon

Question 2
A)The highway has a maximum speed limit of 55 mph. Which vehicles are safely obeying this speed limit? Check the three that apply.(3 points)
Responses

A sports car travels 216 miles in 4 hours.
A sports car travels 216 miles in 4 hours.

A limousine travels 318 miles in 6 hours.
A limousine travels 318 miles in 6 hours.

An ambulance travels 150 miles in 2 hours.
An ambulance travels 150 miles in 2 hours.

A train travels 182 miles in 2 hours.
A train travels 182 miles in 2 hours.

A school bus travels 162 miles in 3 hours.
A school bus travels 162 miles in 3 hours.
Question 3
A)Ivan can paint 25 square feet every half hour. How many square feet can he paint in 3 hours?(1 point)
Responses

150 square feet
150 square feet

225 square feet
225 square feet

75 square feet
75 square feet

50 square feet
50 square feet
Question 4
A)

Nani needs to buy 8 cups of fresh pineapple for a fruit cocktail. The table shows the unit prices (per cup) of pineapple at different stores. If Nani only has $4, from which stores could she purchase her pineapple? Check the three that apply.

(3 points)
Responses

Store B
Store B

Store E
Store E

Store D
Store D

Store A
Store A

Store C
Store C
Question 5
A)A grocery store advertises that 15 cups of granola cost $6.75. Which scenario represents an equivalent price?(1 point)
Responses

25 cups for $11.75
25 cups for $11.75

10 cups for $4.05
10 cups for $4.05

5 cups for $2.45
5 cups for $2.45

8 cups for $3.60
8 cups for $3.60

Answer 1

Let's tackle each question one by one.

Question 1

To find the unit rate of miles per gallon for each vehicle, we need the number of miles traveled and the gallons used for each. Though you didn't provide the specific distances and gallons for the Sedan, Minivan, and Truck, let’s denote them as follows:

• Sedan: If the sedan traveled X miles on Y gallons, then the unit rate is \( \frac{X}{Y} \) miles per gallon.
• Minivan: If the minivan traveled A miles on B gallons, then the unit rate is \( \frac{A}{B} \) miles per gallon.
• Truck: If the truck traveled C miles on D gallons, then the unit rate is \( \frac{C}{D} \) miles per gallon.

Please provide the specific values for each vehicle so I can calculate these rates.

Question 2

We need to calculate the speed for each vehicle (in miles per hour) and check which are below 55 mph.

1. Sports Car: \(\frac{216 \text{ miles}}{4 \text{ hours}} = 54 \text{ mph} \) (This vehicle obeys the speed limit)

2. Limousine: \(\frac{318 \text{ miles}}{6 \text{ hours}} = 53 \text{ mph} \) (This vehicle obeys the speed limit)

3. Ambulance: \(\frac{150 \text{ miles}}{2 \text{ hours}} = 75 \text{ mph} \) (This vehicle does not obey the speed limit)

4. Train: \(\frac{182 \text{ miles}}{2 \text{ hours}} = 91 \text{ mph} \) (This vehicle does not obey the speed limit)

5. School Bus: \(\frac{162 \text{ miles}}{3 \text{ hours}} = 54 \text{ mph} \) (This vehicle obeys the speed limit)

Vehicles obeying the speed limit: Sports Car, Limousine, School Bus

Question 3

Ivan paints 25 square feet every half hour. In one hour, he can paint:

• \( 25 \text{ sq ft} \times 2 = 50 \text{ sq ft}\)

In 3 hours:

• \( 50 \text{ sq ft} \times 3 = 150 \text{ sq ft} \)

The answer is: 150 square feet.

Question 4

If Nani needs to buy 8 cups of fresh pineapple and has $4, we need to determine which stores sell their pineapple for $0.50 or less per cup.

Let’s denote the price per cup at each store:

• If a store sells at $0.50 per cup, then for 8 cups, she would pay \( 8 \times 0.50 = 4.00 \).

Please provide the unit prices from the stores so we can determine which three stores would be suitable.

Question 5

The price of 15 cups of granola is $6.75, making the unit price:

• \( \frac{6.75}{15} = 0.45 \) per cup.

To find an equivalent price, we need to find a scenario where the price per cup is also $0.45.

• 25 cups for $11.75: \( \frac{11.75}{25} = 0.47 \) (not equivalent)
• 10 cups for $4.05: \( \frac{4.05}{10} = 0.405 \) (not equivalent)
• 5 cups for $2.45: \( \frac{2.45}{5} = 0.49 \) (not equivalent)
• 8 cups for $3.60: \( \frac{3.60}{8} = 0.45 \) (equivalent)

The answer is: 8 cups for $3.60.

If you can provide the missing data for Questions 1 and 4, I can compute the answers for those as well!