Answer :
Question 2: Dogs Nick Walks in 3 Hours
Let's break down the problem into steps to find out how many dogs Nick will walk in 3 hours if he walks 24 dogs during an 8-hour shift.
1. Determine the rate at which Nick walks dogs per hour:
If Nick walks 24 dogs in 8 hours, we can find the number of dogs he walks per hour by dividing the total number of dogs by the total hours.
[tex]\[ \text{Dogs per hour} = \frac{24 \text{ dogs}}{8 \text{ hours}} = 3 \text{ dogs per hour} \][/tex]
2. Calculate the number of dogs Nick will walk in 3 hours:
Now that we know Nick walks 3 dogs per hour, we can find out how many dogs he walks in 3 hours by multiplying the dogs per hour by the number of hours.
[tex]\[ \text{Dogs walked in 3 hours} = 3 \text{ dogs per hour} \times 3 \text{ hours} = 9 \text{ dogs} \][/tex]
Answer: Nick will walk 9 dogs in 3 hours.
Question 3: Change in Altitude in 10 Minutes
Let's break down the problem into steps to find out the change in altitude if an airplane is ascending at a constant rate of 15 feet per second for 10 minutes.
1. Convert the time from minutes to seconds:
Since the ascent rate is given in feet per second, we need to convert the time duration from minutes to seconds. There are 60 seconds in one minute.
[tex]\[ \text{Time in seconds} = 10 \text{ minutes} \times 60 \text{ seconds per minute} = 600 \text{ seconds} \][/tex]
2. Calculate the change in altitude:
The ascent rate is given as 15 feet per second. To find the total change in altitude, we multiply the ascent rate by the time in seconds.
[tex]\[ \text{Change in altitude} = 15 \text{ feet per second} \times 600 \text{ seconds} = 9000 \text{ feet} \][/tex]
Answer: The change in altitude during 10 minutes is 9000 feet.
Let's break down the problem into steps to find out how many dogs Nick will walk in 3 hours if he walks 24 dogs during an 8-hour shift.
1. Determine the rate at which Nick walks dogs per hour:
If Nick walks 24 dogs in 8 hours, we can find the number of dogs he walks per hour by dividing the total number of dogs by the total hours.
[tex]\[ \text{Dogs per hour} = \frac{24 \text{ dogs}}{8 \text{ hours}} = 3 \text{ dogs per hour} \][/tex]
2. Calculate the number of dogs Nick will walk in 3 hours:
Now that we know Nick walks 3 dogs per hour, we can find out how many dogs he walks in 3 hours by multiplying the dogs per hour by the number of hours.
[tex]\[ \text{Dogs walked in 3 hours} = 3 \text{ dogs per hour} \times 3 \text{ hours} = 9 \text{ dogs} \][/tex]
Answer: Nick will walk 9 dogs in 3 hours.
Question 3: Change in Altitude in 10 Minutes
Let's break down the problem into steps to find out the change in altitude if an airplane is ascending at a constant rate of 15 feet per second for 10 minutes.
1. Convert the time from minutes to seconds:
Since the ascent rate is given in feet per second, we need to convert the time duration from minutes to seconds. There are 60 seconds in one minute.
[tex]\[ \text{Time in seconds} = 10 \text{ minutes} \times 60 \text{ seconds per minute} = 600 \text{ seconds} \][/tex]
2. Calculate the change in altitude:
The ascent rate is given as 15 feet per second. To find the total change in altitude, we multiply the ascent rate by the time in seconds.
[tex]\[ \text{Change in altitude} = 15 \text{ feet per second} \times 600 \text{ seconds} = 9000 \text{ feet} \][/tex]
Answer: The change in altitude during 10 minutes is 9000 feet.
