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Unit 1 Part 2 TEST: Applications of Functions Answers

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T
They are increasing by 2 each time.
T
They are increasing by 4 each time.
T
They are being multiplied by 2 each time.
T
They are being multiplied by 4 each time.
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Interest per every $100 financed# of Monthly PaymentsAnnual Percentage Rate (APR) 11%11.5%12%12.5%13%13.5%14%14.5%15%2411.8612.4212.9813.5414.1014.6615.3215.8016.372512.3512.9313.5214.1014.9615.2815.8716.4617.06You plan on financing a new road bike for $2,500. The bike shop offers a 13.5% APR for a 24 month loan. Use this information, and the table above, to determine the monthly payments. Round your answer to the nearest cent.

A
$104.17
B
$119.44
C
$210.10
D
$366.50
55

The function f(x) = 5 is reflected over the y-axis. Which equations represent the reflected function? Select two options.

Question illustration
A
f(x) =
Option A
B
f(x) =
Option B
C
f(x) = 5
Option C
D
f(x) = 5(5)x
E
f(x) = 5(5)–x
56

Which is the initial value that shrinks an exponential growth function by 50%?

A
One-fifth
Option A
B
One-fourth
Option B
C
One-third
Option C
D
One-half
Option D
57

Why do interest rates on loans tend to be higher in a strong economy than in a weak one?

A
Credit markets increase in a strong economy, and with increased demand come increased prices.
B
A strong economy encourages borrowers to take out very long-term loans, which have higher interest rates.
C
Credit is plentiful in a strong economy, so it is harder to build up the good credit rating necessary for a low interest rate.
D
People in a strong economy have more money, so they can afford more expensive loans.
58

Pherris is graphing the function f(x) = 2(3)x. He begins with the point (1, 6). Which could be the next point on his graph?

(
(2, 12)
(
(2, 18)
(
(2, 7)
(
(3, 7)
59

The number of bacteria in a sample after x days is represented using the equation . By what approximate percent does the population change per day?

Question illustration
A
4.8% decrease
B
5.0% increase
C
95.2% decrease
D
105.0% increase
60

Andrew is choosing between four loans. Loan P has a nominal rate of 10.393%, compounded daily. Loan Q has a nominal rate of 10.516%, compounded weekly. Loan R has a nominal rate of 10.676%, compounded monthly. Loan S has a nominal rate of 10.755%, compounded annually. Which loan will give Andrew the best effective interest rate?

A
loan P
B
loan Q
C
loan R
D
loan S
61

Which is the graph of g(x) = – 2?

Question illustration
A
On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0. It crosses the y-axis at (0, 2.25)
Option A
B
On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0. It crosses the y-axis at (0, 0.44)
Option B
C
On a coordinate plane, an exponential function decreases from quadrant 2, through quadrant 3, into quadrant 4 and approaches y = negative 2. It crosses the y-axis at (0, negative 1)
Option C
D
On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 2. It crosses the y-axis at (0, 3)
Option D
62

Nicole deposits $2,136 in a savings account paying 5.36% interest. To the nearest dollar, how much money does Nicole have in total after nine years?

A
$213
B
$1,030
C
$1,272
D
$3,166
63

An account is opened with $7,595.96 with a rate of increase of 2% per year. After 1 year, the bank account contains $7,746.90. Assuming no deposits or withdrawals are made, which equation can be used to find y, the amount of money in the account after x years? (Round money values to the nearest penny.)

A
y = 7,746.90(1.02)x
B
y = 7,746.90(0.02)x
C
y = 7,595.96(1.02)x
D
y = 7,595.96(0.02)x
64

Cameron has decided to diversify his investments in the following way:$3,000 in an account earning 2.7% simple interest$5,000 in a savings account earning 1.8% interest compounded annually$5,000 in a certificate of deposit earning 3.9% interest compounded quarterlyHow much total interest will Cameron earn on his investments at the end of 3 years?

A
$530.87
B
$665.57
C
$973.30
D
$1,135.30
65

A direct variation function contains the points (–9, –3) and (–12, –4). Which equation represents the function?

A
y = –3x
B
y = –
Option B
C
y =
Option C
D
y = 3x
66

A line is drawn through (–4, 3) and (4, 3). Which describes whether or not the line represents a direct variation?

A
The line represents a direct variation because = .
Option A
B
The line represents a direct variation because it is horizontal.
C
The line does not represent a direct variation because it does not go through the origin.
D
The line does not represent a direct variation because –4(3) ≠ 4(3).
67

The depth of snow after n hours of a snowstorm is represented by the function f(n + 1) = f(n) + 0.8 where f(0) = 2.5. Which statement describes the sequence of numbers generated by the function?

A
The depth of snow was 0.8 inches when the storm began, and 2.5 inches after the first hour of the storm.
B
The depth of snow was 1.7 inches when the storm began, and 0.8 inches of snow fell each hour.
C
The depth of snow was 2.5 inches when the storm began, and increased by 0.8 inches each hour.
D
The depth of snow was 3.3 inches when the storm began, and 2.5 inches of snow fell in 1 hour.

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Unit 1 Part 1 TEST: Applications and Functions