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bảng tínhCh. 12-13 Exponential Functions
Total câu hỏi: 30
Worksheet time: 2hrs 52mins
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1.
The value of a painting is $12,000 in 1990 and increases by 8% of its value each year. Write and evaluate an expression to estimate the paintings value in 2005.
a)
1.08(12,000)t = $36,000
b)
12,000(1.08)t = $38, 066
c)
12,000(0.5)t = $10,000
d)
12,000(0.92)t = $40,000
2.
A party charges $5 admission for each person.
a)
Linear
b)
Exponential
c)
Neither
3.
In an exponential function, what does the 'a' represent?
a)
SLOPE
b)
RATE OF CHANGE
c)
Y-INTERCEPT
d)
COMMON RATIO
4.
Write the equation that represents the table below:
a)
y=1/2(4)x
b)
y=2(4)x
c)
y=4(2)x
d)
y=4(1/2)x
5.
What is a, the starting term, for the function: f(x) = 300(1.16)x?
a)
300
b)
1.16
c)
.16
d)
x
6.
What is b, the common ratio, for the function: f(x) = 300(1.16)x?
a)
300
b)
1.16
c)
.16
d)
x
7.
Is the sequence geometric or arithmetic?
3, 6, 9, 12...
3, 6, 9, 12...
a)
Arithmetic
b)
Geometric
c)
Neither
8.
Is the sequence geometric or arithmetic?
6, 18, 54...
6, 18, 54...
a)
Arithmetic
b)
Geometric
c)
Neither
9.
What is the common ratio for the sequence:
28, 14, 7, 3.5...
28, 14, 7, 3.5...
a)
2
b)
1/2
c)
-14
d)
-7
10.
What is the common ratio for the sequence:
3, 15, 75...
3, 15, 75...
a)
12
b)
1/5
c)
5
11.
Write the recursive form for the sequence:
200, 150, 112.5...
200, 150, 112.5...
a)
f(1)=200, f(n)=f(n-1)0.75
b)
f(200), f(n)=f(200)0.75
c)
f(1), f(n)=f(n-1)75
12.
What is the 7 term for the rule:
f(n) = 3(0.8)n-1
f(n) = 3(0.8)n-1
a)
0.786
b)
0.629
c)
14.4
d)
2.4
13.
Is the table linear, exponential or neither?
a)
Linear
b)
Exponential
c)
Neither
14.
What is the common ratio for the sequence:
28, 14, 7, 3.5...
Reminder: common ratio is common multiple used to get the next output
28, 14, 7, 3.5...
Reminder: common ratio is common multiple used to get the next output
a)
2
b)
1/2
c)
-14
d)
-7
15.
Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
a)
y=6(0.14)x
b)
y=6(1+14)x
c)
y=6(1.14)x
d)
y=6(0.86)x
16.
What is the pattern you see in this table?
a)
Common Ratio = 1/3
b)
Common Difference = 8
c)
Common Ratio = 3
d)
Common difference = 3
17.
Which equation matches the graph?
a)
y=2(2)x
b)
y=2(1/2)x
c)
y=2x
d)
y=1/2(2)x
18.
Identify the growth rate of the equation: f(x)=2(1.45)x.
a)
145%
b)
45%
c)
55%
19.
Which equation describes the story below?
You have $5 and triple your money every day.
You have $5 and triple your money every day.
a)
y=5(3)x
b)
y=5x
c)
y=5(3x)
d)
y=15x
20.
What is the equation that matches the function below?
You have $100 and spend $5 every week.
You have $100 and spend $5 every week.
a)
y=100x+5
b)
y=5x+100
c)
y= -5x+100
d)
y = 5x
21.
What is the pattern you see in this table?
a)
Common Ratio = 1/3
b)
Common Difference = 8
c)
Common Ratio = 3
d)
Common difference = 3
22.
What is the explicit rule for the sequence:
11, 22, 44, 88...
11, 22, 44, 88...
a)
an = 2(11)n-1
b)
an = 11(2)
c)
an = 11(2)n-1
23.
You have $10 in you bank account. It doubles every month. How much money will you have after 5 months?
By what percent is it increasing?
By what percent is it increasing?
a)
$50; 100%
b)
$35; 300%
c)
$320; 300%
d)
$320; 200%
24.
Is the equation linear, exponential or neither?
a)
Linear
b)
Exponential
c)
Neither
25.
Identify the decay rate from the following equations: f(x)=13(.27)x
a)
.27
b)
27%
c)
73%
d)
.73
26.
Identify the common ratio (multiplier) of the function f(x)=2(4)x.
a)
2
b)
4
c)
(2)x
d)
8
27.
What is b, the common ratio, for the function: f(x) = 800(0.85)x?
What is the decay rate (%)?
What is the decay rate (%)?
a)
0.85; 85%
b)
0.85; 15%
c)
0.15; 85%
d)
800; 15%
28.
Identify each function as representing exponential growth or decay and determine the rate.
f(x) = 4(0.89)x
f(x) = 4(0.89)x
a)
growth; 11%
b)
decay; 11%
c)
growth; 89%
d)
decay; 89%
29.
Identify each function as representing exponential growth or decay and determine the rate.
f(x) = 5(1.06)x
f(x) = 5(1.06)x
a)
growth; 106%
b)
decay; 6%
c)
growth; 6%
d)
decay; 106%
30.
The value of a painting is $12,000 in 1990 and increases by 8% of its value each year. Write and evaluate an expression to estimate the paintings value in 2005.
a)
1.08(12,000)t = $36,000
b)
12,000(1.08)t = $38, 066
c)
12,000(0.5)t = $10,000
d)
12,000(0.92)t = $40,000
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