Piecewise Defined Functions Answers

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Which statement about the relationship between the time to pay off the mortgage and the monthly payment is true?

A
If the payment is $1, it takes 225 years to pay off the mortgage.
B
If the payment is $225, it takes 1 year to pay off the mortgage.
C
If the payment is $31.45, it takes 1 year to pay off the mortgage.
D
If the payment is $225, it takes 31.45 years to pay off the mortgage.
3

r =

A
–4.9072
B
–0.2038
C
0.2038
D
4.9072
4

The percentage of sprouted seeds for a single crop can be modeled by a logistic function that is represented by . Which statements about the scenario are true? Check all that apply.The y-intercept of the function is (0, 1).1% of the crop’s seeds were sprouted at the start.The limiting value is 100, because the percentage of sprouted seeds cannot exceed 100%.The number of sprouted seeds increases quickly until 5% of the seeds sprout, and then the growth slows. The function has an asymptote at x = 99, which is the maximum number of seeds that can sprout.

Question illustration
A
The y-intercept of the function is (0, 1).
B
1% of the crop’s seeds were sprouted at the start.
C
The limiting value is 100, because the percentage of sprouted seeds cannot exceed 100%.
D
The number of sprouted seeds increases quickly until 5% of the seeds sprout, and then the growth slows.
E
The function has an asymptote at x = 99, which is the maximum number of seeds that can sprout.
6

The equation that models this data is .

A
y = 10 log x
B
y = 0.10 log x
C
y = –10 log x
D
y = –0.10 log x
7

a =

A
37,500
B
38,500
C
40,915
D
41,915
8

b =

A
37.5
B
38.5
C
40.915
D
41.915

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Piecewise Defined Functions Answers — TN-Algebra…