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.

you forgot an image

step-by-step explanation:

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47