Which set of data points represents an exponential function?

D

Step-by-step explanation:

In the data set in option D, the x-values are equally spaced, (i.e. , however, the x-value are not equally spaced. This rules out the possiblity of the data set in option D being a linear function.

To confirm if it's an exponential function, let's examine if the data set has a "constant multiplying factor", n, that takes us from one y-value to a successive y-value.

Thus:

What do we multiply ⅑ with that will give us the next successive y-value, 1?

Thus, let n be the constant multiplying factor we are looking for.

Therefore:

⅑ × n = 1

Solve for n. Multiply both sides by 9

n = 9.

If we multiply the second y-value which is 9, by 9, wwe will get the next successive y-value, which is 81.

This means the data set has a constant multiplying factor of 9.

Therefore, the data set in option D represents an exponential function.

we know that

applying the law of sines

°

so

∠j=18°

∠k=29°

∠l=180-(18+29)=133°

the answer part a) is

the measure of angle k is  ≈29°

part b)  the measure of angle k could also be

(180-29)=151°

so

∠j=18°

∠k=151°

∠l=180-(18+151)=11°

the answer part b) is

the measure of angle k could also be 151°

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answer: slight chance that it will happen

step-by-step explanation: