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muminat
2 years ago
6

A data set contains an independent and a dependent variable. Which must be true of the data set if a linear function can be used

to represent the data?
The set must have a constant additive rate of change.
The set must have a constant multiplicative rate of change.
The values in the set must be positive.
The values in the set must be increasing.
Mathematics
2 answers:
ycow [4]2 years ago
8 0

The set must have a constant additive rate of change.

Answer: Option A.

<u>Explanation:</u>

A function has an additive rate of change if there is a consistent distinction between any two successive information and yield esteems. From the primary table we can watch a consistent distinction of - 6 among the y-values and a steady contrast of 2 among the x-values.

A linear function has a consistent additive rate of change, while a nonlinear capacity doesn't. For a table of qualities to be direct, the needy variable must have a steady pace of progress as the autonomous variable increments by 1.

Oxana [17]2 years ago
3 0

Answer:

A) The set must have a constant additive rate of change.

Step-by-step explanation:

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Hello! answer:

Step-by-step explanation:

6 × 12 = 72

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A quantity P is an exponential function of time I, such that P = 160 when t = 6 and P = 150 when I = 4. Use the given informatio
Klio2033 [76]

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Step-by-step explanation:

Perhaps you want to use the points (t, P) = (4, 150) and (6, 160) to find the parameters P0 and k in the equation ...

  P(t)=P_0\cdot e^{kt}

We know from the given points that we can write the equation as ...

  P(t)=150\left(\dfrac{160}{150}\right)^{(t-4)/(6-4)}=150\left(\dfrac{16}{15}\right)^{\frac{t}{2}-2}\\\\=150\left(\dfrac{16}{15}\right)^{-2}\times\left(\left(\dfrac{16}{15}\right)^{\frac{1}{2}}\right)^t

Comparing this to the desired form, we see that ...

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So, the approximate equation for P is ...

  P(t)=131.836\cdote^{0.032t}

And the parameters of interest are ...

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Answer:

Step-by-step explanation:

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