Question

Question 1
A)Which fraction is a unit rate you can use to solve a ratio problem?(1 point)
Responses

75
Start Fraction 7 over 5 End Fraction

271
Start Fraction 27 over 1 End Fraction

127
Start Fraction 1 over 27 End Fraction

34
Start Fraction 3 over 4 End Fraction
Question 2
A)Jamal is creating toys to sell. He is averaging 8 toys every 5 days. If he continues at this rate, how many days will it take to fill an order of 75? Round to the nearest whole number of days. (1 point)
Responses

47 days
47 days

10 days
10 days

120 days
120 days

375 days
375 days
Question 3
A)Ramon makes 33 donuts every 7 hours. Using a unit rate, determine how many whole donuts he would make in 5 hours.(1 point)
Responses

4
4

46
46

23
23

1
1
Question 4
A)Raquel gets paid $75 per week to mow 8 yards. Which equation would represent how to compute her wage for each yard?(1 point)
Responses

875=x1
Start Fraction 8 over 75 End Fraction equals Start Fraction x over 1 End Fraction

757=x1
Start Fraction 75 over 7 End Fraction equals Start Fraction x over 1 End Fraction

757=8x
Start Fraction 75 over 7 End Fraction equals Start Fraction 8 over 1 End Fraction equals Start Fraction 8 over x end Fraction

758=x1

Answer 1

Let's analyze and provide answers to each question one by one.

### Question 1
A) Which fraction is a unit rate you can use to solve a ratio problem?

**Correct Response:**
- **Start Fraction 27 over 1 End Fraction** (This represents 27 units of something per 1 unit of time, which is a unit rate.)

### Question 2
A) Jamal is creating toys to sell. He is averaging 8 toys every 5 days. If he continues at this rate, how many days will it take to fill an order of 75? Round to the nearest whole number of days.

**Step-by-step calculation:**
1. Find the rate: \( \text{Rate} = \frac{8 \text{ toys}}{5 \text{ days}} = 1.6 \text{ toys per day} \)
2. Set up the equation for 75 toys: \( \text{Days} = \frac{75 \text{ toys}}{1.6 \text{ toys per day}} \approx 46.875 \)
3. Rounding to the nearest whole number gives **47 days**.

**Correct Response:**
- **47 days**

### Question 3
A) Ramon makes 33 donuts every 7 hours. Using a unit rate, determine how many whole donuts he would make in 5 hours.

**Step-by-step calculation:**
1. Find the rate: \( \text{Rate} = \frac{33 \text{ donuts}}{7 \text{ hours}} \approx 4.7142857 \text{ donuts per hour} \)
2. For 5 hours: \( 5 \text{ hours} \times 4.7142857 \text{ donuts per hour} \approx 23.5714285 \)
3. The whole number is 23.

**Correct Response:**
- **23**

### Question 4
A) Raquel gets paid $75 per week to mow 8 yards. Which equation would represent how to compute her wage for each yard?

**Step-by-step:**
1. To find the wage per yard, divide total pay by the number of yards:
\( \text{Wage per yard} = \frac{75}{8} \)
2. To represent this using variables, if \( x \) is the wage per yard, the equation would be:
\( 75 = 8x \)

**Correct Response:**
- **757=8x** (This equation states that $75 equals 8 times the amount earned per yard.)

To summarize:

1. Start Fraction 27 over 1 End Fraction
2. 47 days
3. 23
4. 757=8x

Answer 2

Jesse uses 13 pints of paint for 5 paintings. How many pints does he use for each painting? How many paintings will he complete if he uses 44 pints? How many pints will he need for 29 paintings?(1 point)
Responses

Pints Paintings
13 5
13 1
44 3.38
377 29
Pints Paintings 13 5 13 1 44 3.38 377 29

Pints Paintings
13 5
2.6 1
44 114.4
75.4 29
Pints Paintings 13 5 2.6 1 44 114.4 75.4 29

Pints Paintings
13 5
0.38 1
44 115.7
11.02 29
Pints Paintings 13 5 0.38 1 44 115.7 11.02 29

Pints Paintings
13 5
2.6 1
44 16.92
75.4 29

Answer 3

Let’s break down the questions one by one, using Jesse's data: he uses 13 pints of paint for 5 paintings.

### Step 1: Paint per Painting
To find how many pints Jesse uses for each painting:
- Number of pints per painting \( = \frac{13 \text{ pints}}{5 \text{ paintings}} = 2.6 \text{ pints per painting} \)

### Step 2: How many paintings with 44 pints?
To find how many paintings Jesse can complete with 44 pints:
- Total number of paintings \( = \frac{44 \text{ pints}}{2.6 \text{ pints per painting}} \)
- Calculating this gives \( \approx 16.92 \) paintings.

### Step 3: How many pints for 29 paintings?
To calculate how many pints are needed for 29 paintings:
- Total pints needed \( = 29 \text{ paintings} \times 2.6 \text{ pints per painting} = 75.4 \text{ pints} \)

### Summary of the Results:
- **Pints per painting**: 2.6
- **Paintings that can be completed with 44 pints**: 16.92
- **Pints needed for 29 paintings**: 75.4

### Correct Response:
From the provided options, the closest match is:
Pints Paintings
13 5
2.6 1
44 16.92
75.4 29

So the answer would be:
**Pints Paintings 13 5 2.6 1 44 16.92 75.4 29**