HELP 50 POINTS
(Q1)
The population of Orange County is represented by the function f(x)=87,000(0.9)x, where x is the number of years since 2010.
The population of Greene County was 78,000 in 2010, and has decreased exponentially at a rate of 8% each year.
How do the populations of these counties compare in 2015?
Drag a value or word to the boxes to correctly complete the statements.
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.
In 2015, the population of Orange County was approximately[ Response area] and the population of Greene County was approximately [Response area]. In 2015, [Response area] County was more populous.
A-51,373
B-51,408
C-55,879
D-57,081
-
E-Greene
F-Orange
Q2)
Leighanne is closely monitoring her account balance. The graph shows her progress. In the graph, x represents the number of weeks since February 1st.
Danielle is also monitoring her account balance. Danielle's account balance is modeled by the function f(x)=40(1.59)x, where x is the number of weeks since February 1st.
How do their account balances compare weeks after February 1st?
Responses
A-At 3 weeks, Leighanne's account balance is $165, and Danielle's account balance is approximately $161.
B-At 4 weeks, Leighanne's account balance is $250, and Danielle's account balance is approximately $275.
C-At 4 weeks, Leighanne's account balance is $200, and Danielle's account balance is approximately $300.
D-At 4 weeks, Leighanne's account balance is $161, and Danielle's account balance is approximately $165.[screenshot is 1st one]
Q3)
Greg needs to graph the function f(x)=7(0.1)x. He creates a table of values, using integer values for x.
What does Greg's graph look like?
Drag a value or word to the boxes to correctly complete the statements.
Greg's graph passes through the ordered pairs (−1,), (Response area]0, [Response area]), and (2,[Response area]). The graph [Response area] left to right.
Options
A.7/100 B.7/10 C.10/7 D.7 E.100/7 F.70| G.rises H.falls
Q4
Graph the function f(x)=3(0.25)x.
How can features of the graph be described?
Select from the drop-down menus to correctly complete the statements.
The function is an example of exponential
[Growth/decay]
.
As x
[Increases/decreases]
without bound, the function approaches y = 0. As x
[Increases/decreases]
without bound, the function
[Increases/decreases]
without bound.
Q5
Drag and drop the answer into the box to identify each function as linear, exponential, or neither.
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.
x 2 3 4
f(x) 5.5 7 8.5
x 0 3 6
f(x) 1 8 64
Options
A. Linear B. exponential C. Niether
Q6.
Function f is an exponential function as shown in this table.
x −1 1 3 5 7
f(x) 14 4 64 1024 16,384
By what factor does the output value increase as each input value increases by 1?
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