1. A squirrel has stored its acorns in a hole that is 45 feet from the ground in a tall tree. The squirrel starts on a perch 100 feet above the ground. The squirrel moves from the perch down to its stored acorns in 5.25 seconds. Interpret the quotient to describe the rate of change in the squirrel’s height above the ground. Give your answer to the nearest hundredth.(1 point)
Responses
The quotient that describes the rate of change in the squirrel’s height above the ground is 10.48 feet/second.
The quotient that describes the rate of change in the squirrel’s height above the ground is 10.48 feet/second.
The quotient that describes the rate of change in the squirrel’s height above the ground is 19.05 feet/second.
The quotient that describes the rate of change in the squirrel’s height above the ground is 19.05 feet/second.
The quotient that describes the rate of change in the squirrel’s height above the ground is -10.48 feet/second.
The quotient that describes the rate of change in the squirrel’s height above the ground is -10.48 feet/second.
The quotient that describes the rate of change in the squirrel’s height above the ground is -19.05 feet/second.
The quotient that describes the rate of change in the squirrel’s height above the ground is -19.05 feet/second.
Question 2
2. A dolphin jumped above the surface of the water. It reached an altitude of 3.5 meters above the surface of the water and then dove 10 meters below the surface of the water. It went from its highest point above the water to its lowest depth in 12.5 seconds. Interpret the quotient to describe the average rate of change in the dolphin’s position. Give your answer to the nearest hundredth.(1 point)
Responses
The quotient that describes the rate of change in the dolphin’s position is -0.52 meters/second.
The quotient that describes the rate of change in the dolphin’s position is -0.52 meters/second.
The quotient that describes the rate of change in the dolphin’s position is -1.08 meters/second.
The quotient that describes the rate of change in the dolphin’s position is -1.08 meters/second.
The quotient that describes the rate of change in the dolphin’s position is 0.52 meters/second.
The quotient that describes the rate of change in the dolphin’s position is 0.52 meters/second.
The quotient that describes the rate of change in the dolphin’s position is 1.08 meters/second.
The quotient that describes the rate of change in the dolphin’s position is -0.52 meters/second.
both answers
The correct answers are:
- The quotient that describes the rate of change in the squirrel’s height above the ground is either 10.48 feet/second or -10.48 feet/second.
- The quotient that describes the rate of change in the dolphin’s position is either -0.52 meters/second or 0.52 meters/second.
3. The scuba diver was at a depth below the surface when she saw something interesting about 10 meters lower. She made the descent in 10.1 seconds. Interpret the quotient to describe the rate of change in the diver’s depth. Give your answer to the nearest hundredth.
(1 point)
Responses
The quotient that scribes the average rate of change for the diver’s depth is 0.99 meters/second.
The quotient that scribes the average rate of change for the diver’s depth is 0.99 meters/second.
The quotient that scribes the average rate of change for the diver’s depth is -3.47 meters/second.
The quotient that scribes the average rate of change for the diver’s depth is -3.47 meters/second.
The quotient that scribes the average rate of change for the diver’s depth is -0.99 meters/second.
The quotient that scribes the average rate of change for the diver’s depth is -0.99 meters/second.
The quotient that scribes the average rate of change for the diver’s depth is -0.49 meters/second.
The quotient that scribes the average rate of change for the diver’s depth is -0.49 meters/second.
Question 4
4. Solve using division of rational numbers. If a car’s value decreases by $4000 in the first 12 months, how much does the value decrease per month? (Round to the nearest hundredth.)(1 point)
Responses
-$0.003
-$0.003
$0.003
$0.003
-$333.33
-$333.33
$333.33
The correct answers are:
3. The quotient that describes the average rate of change for the diver’s depth is either 0.99 meters/second or -0.99 meters/second.
4. The value of the car decreases by $333.33 per month.
5. It is recommended that hikers drink 24 ounces of water an hour. If a canteen has 24 ounces of water, how much should the amount of water in the canteen change every 10 minutes?(1 point)
Responses
-4 ounces
-4 ounces
4 ounces
4 ounces
0.4 ounces
0.4 ounces
-0.4 ounces
The correct answer is:
-4 ounces
6. Joshua is sharing half of a pizza with three friends. Which expression can be used to find the fraction of a whole pizza each person will get, if they sprint what they have evenly?(1 point)
Responses
2 times 1 fourth
2 times 4
1 half times 1 fourth
1 half times 4
7. Which quotient is between -4 and -5?
Hint: Use your calculator for this problem.
(1 point)
Responses
2 and 5 sixths divided by open paren negative 1 half close paren
negative 5 and 1 half divided by open paren negative 1 and 1 half close paren
negative 9 and 1 third divided by 2
123÷(−12)
The correct answers are:
6. The expression that can be used to find the fraction of a whole pizza each person will get if they split it equally is: 1 half times 1 fourth.
7. The quotient that is between -4 and -5 is: negative 5 and 1 half divided by (negative 1 and 1 half)
Convert 31625
to a decimal.(1 point)
Responses
3.64
1.92
12.64
0.64