Question

use the table to answer the question. find the rate of change. number of people | cost in dollars 2 | $9.00 5 | $22.50 8 | $36.00 11 | $49.50 14 | $63.00 (1 point) $4.50 per person $18.00 per person $32.00 per person $22.50 per person

Explanation:

Step1: Recall rate of change formula

The rate of change (slope) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by \(\frac{y_2 - y_1}{x_2 - x_1}\). Let's take the first two points: \((2, 9)\) and \((5, 22.50)\).

Step2: Calculate the rate of change

Using the formula, \(\frac{22.50 - 9}{5 - 2}=\frac{13.50}{3} = 4.50\). We can check with another pair, say \((5, 22.50)\) and \((8, 36.00)\): \(\frac{36.00 - 22.50}{8 - 5}=\frac{13.50}{3}=4.50\). This confirms the rate of change is consistent.

Answer:

\$4.50 per person