Does the table represent an exponential function? Explain. A. Yes, the x-values decrease by a constant amount and the y-values are multiplied by a constant amount.
B. No, the x- and y-values show a quadratic relationship only.
C. Yes, the x-values increase by a constant amount and the y-values are multiplied by a constant amount.
D. Yes, the y-values increase by a constant amount and the x-values are multiplied by a constant amount.

No, because as the x-values are increasing by a constant amount, the y-values are not being multiplied by a constant amount.

Step-by-step explanation:

We have a set of ordered pairs of the form (x, y)

If a function is exponential then the ratio between the consecutive values of y, is always equal to a constant.

This means that:

\frac{y_2}{y_1}=\frac{y_3}{y_2}=\frac{y_4}{y_3}=by1y2=y2y3=y3y4=b

This is: y_2=by_1y2=by1

Now we have this set of points {(-1, -5), (0, -3), (1, -1), (2, 1)}

Observe that:

\begin{gathered}\frac{y_2}{y_1}=\frac{-3}{-5}=\frac{3}{5}frac{y_3}{y_2}=\frac{-1}{-3}=\frac{1}{3}frac{3}{5}\neq \frac{1}{3}\end{gathered}y1y2=−5−3=53y2y3=−3−1=3153=31

Then the values of y are not multiplied by a constant amount "b"

45 km per hour

Step-by-step explanation:

We want to find the tricycle's speed in kilometers per hour.

Therefore, we must divide the kilometers traveled by the number of hours.

speed= kilometers / hours

The tricycle travels 180 kilometers in 4 hours.

speed= 180 km / 4 hrs

Divide 180 km by 4 hrs.

⇒ 180/4=45

speed= 45 km / hour

The tricycle's speed is 45 kilometers per hour.