Question
Question 1
A)
The values in the table represent a function.
x f(x)
-6 8
7 3
4 -5
3 -2
-5 12
(3 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Fill in the blanks to complete the statements.
The ordered pair, (-6, 8) can be written as Response area using function notation.
f(3)=
Response area
f(x)=−5
when x
is Response area.
Question 2
A)
The mapping diagram shows a functional relationship.
(2 points)
Complete the statements using the mapping diagram.
f(11)
is
.
f(x)=12
when x
is
.
Question 3
A)(3 points)
A hot air balloon descends to the ground. The function a(t)=210−15t
can be used to describe the altitude of the balloon as it approaches the ground. The time is in minutes.
What does t
represent?
What does a(t)
represent?
What information will a(5)
give?
Question 4
A)
Marlene rides her bike at a rate of 16 miles per hour. The time in hours that she rides her bike is represented by the variable t, and the distance she rides is represented by the variable d. This relationship is modeled with distance d as a function of time, t.
Which statements are true about the scenario? Select the two that apply.
(2 points)
Responses
The distance traveled depends on the amount of time that Marlene rides her bike.
The distance traveled depends on the amount of time that Marlene rides her bike.
The initial value of the scenario is 16 miles per hour.
The initial value of the scenario is 16 miles per hour.
The function t=d+16
represents this scenario.
The function t is equal to d plus 16 represents this scenario.
The function f(t)=16t
represents this scenario.
The function f of t is equal to 16 t represents this scenario.
A)
The values in the table represent a function.
x f(x)
-6 8
7 3
4 -5
3 -2
-5 12
(3 points)
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Fill in the blanks to complete the statements.
The ordered pair, (-6, 8) can be written as Response area using function notation.
f(3)=
Response area
f(x)=−5
when x
is Response area.
Question 2
A)
The mapping diagram shows a functional relationship.
(2 points)
Complete the statements using the mapping diagram.
f(11)
is
.
f(x)=12
when x
is
.
Question 3
A)(3 points)
A hot air balloon descends to the ground. The function a(t)=210−15t
can be used to describe the altitude of the balloon as it approaches the ground. The time is in minutes.
What does t
represent?
What does a(t)
represent?
What information will a(5)
give?
Question 4
A)
Marlene rides her bike at a rate of 16 miles per hour. The time in hours that she rides her bike is represented by the variable t, and the distance she rides is represented by the variable d. This relationship is modeled with distance d as a function of time, t.
Which statements are true about the scenario? Select the two that apply.
(2 points)
Responses
The distance traveled depends on the amount of time that Marlene rides her bike.
The distance traveled depends on the amount of time that Marlene rides her bike.
The initial value of the scenario is 16 miles per hour.
The initial value of the scenario is 16 miles per hour.
The function t=d+16
represents this scenario.
The function t is equal to d plus 16 represents this scenario.
The function f(t)=16t
represents this scenario.
The function f of t is equal to 16 t represents this scenario.
Answers
Answered by
GPT-4o mini
Sure! Here are the answers to each question:
**Question 1:**
- The ordered pair, (-6, 8) can be written as **f(-6) = 8** using function notation.
- f(3) = **-2**.
- f(x) = -5 when x is **4**.
---
**Question 2:**
- f(11) is **3**.
- f(x) = 12 when x is **7**.
---
**Question 3:**
- **t** represents the **time in minutes**.
- **a(t)** represents the **altitude of the balloon** in feet.
- a(5) will give **the altitude of the hot air balloon after 5 minutes**.
---
**Question 4:**
- The two statements that are true about the scenario are:
- **The distance traveled depends on the amount of time that Marlene rides her bike.**
- **The function f(t) = 16t represents this scenario.**
Feel free to ask if you need further assistance!
**Question 1:**
- The ordered pair, (-6, 8) can be written as **f(-6) = 8** using function notation.
- f(3) = **-2**.
- f(x) = -5 when x is **4**.
---
**Question 2:**
- f(11) is **3**.
- f(x) = 12 when x is **7**.
---
**Question 3:**
- **t** represents the **time in minutes**.
- **a(t)** represents the **altitude of the balloon** in feet.
- a(5) will give **the altitude of the hot air balloon after 5 minutes**.
---
**Question 4:**
- The two statements that are true about the scenario are:
- **The distance traveled depends on the amount of time that Marlene rides her bike.**
- **The function f(t) = 16t represents this scenario.**
Feel free to ask if you need further assistance!