Question

The table shows the amount x (in hours) of time you spend at a theme park and the admission fee y (in dollars) to the park. The points represented by the table lie on a line. Find and interpret the slope of the line.

Answer 1

Answer:

$Slope = 0$

Step-by-step explanation:

Given

The table (missing from the question) are:

x ---------- y

6 ---------- 54.99

7 ---------- 54.99

8 ---------- 54.99

Solving for the slope of the line:

Take any two points on table, we have:

$(x_1,y_1) = (6,54.99)$

$(x_2,y_2) = (8,54.99)$

The slope is calculated as thus:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{54.99 - 54.99}{8 - 6}$

$m = \frac{0}{2}$

$m = 0$

The slope of the line is 0

And this implies that, the admission fee is independent of the amount of time spent.

i.e. The admission fee will always be $54.99 irrespective of the amount of hours spent.