Question

amusement park ticket cost
number of adults | 1 | 2 | 5 | 8 | 10 | 100
total cost (s) | 75 | 150 | 375 | 600 | 750 | 7500
what is the slope for this table?
options: 75, 100, 1, 7500

Explanation:

Step1: Define slope formula

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

Step2: Pick two table points

Use $(x_1,y_1)=(1,75)$ and $(x_2,y_2)=(2,150)$

Step3: Calculate slope

$m = \frac{150 - 75}{2 - 1} = \frac{75}{1} = 75$

Step4: Verify with other points

Use $(x_1,y_1)=(5,375)$ and $(x_2,y_2)=(10,750)$:
$m = \frac{750 - 375}{10 - 5} = \frac{375}{5} = 75$

Answer:

75