Prices from a brunch restaurant are shown below. Find the rate of change for the situation.

Question

[You can use Slope Formula m, equals, start fraction, y, start subscript, 2, end subscript, minus, y, start subscript, 1, end subscript, divided by, x, start subscript, 2, end subscript, minus, x, start subscript, 1, end subscript, end fractionm=
x
2
​
−x
1
​

y
2
​
−y
1
​

​


OR add the table to Desmos and type y, start subscript, 1, end subscript, \sim, m, x, start subscript, 1, end subscript, plus, by
1
​
∼mx
1
​
+b to see mm ]

[Enter the number only]
Toppings Waffle Price
3 16
2 14
0 10

Answer 1

To find the rate of change of the waffle price with respect to the number of toppings, we can use the slope formula \( m = \frac{y_2 - y_1}{x_2 - x_1} \).

Let's assign the values from the table:

1. Select two points from the data:
   • Point 1 (when there are 3 toppings): \((3, 16)\)
   • Point 2 (when there are 0 toppings): \((0, 10)\)

Now, plug these values into the slope formula:

\[ m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{16 - 10}{3 - 0} = \frac{6}{3} = 2 \]

Thus, the rate of change (slope) in waffle price per topping is 2.

The answer is 2.