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:
- Find the rate: \( \text{Rate} = \frac{8 \text{ toys}}{5 \text{ days}} = 1.6 \text{ toys per day} \)
- Set up the equation for 75 toys: \( \text{Days} = \frac{75 \text{ toys}}{1.6 \text{ toys per day}} \approx 46.875 \)
- 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:
- Find the rate: \( \text{Rate} = \frac{33 \text{ donuts}}{7 \text{ hours}} \approx 4.7142857 \text{ donuts per hour} \)
- For 5 hours: \( 5 \text{ hours} \times 4.7142857 \text{ donuts per hour} \approx 23.5714285 \)
- 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:
- To find the wage per yard, divide total pay by the number of yards: \( \text{Wage per yard} = \frac{75}{8} \)
- 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:
- Start Fraction 27 over 1 End Fraction
- 47 days
- 23
- 757=8x