Question

I need help with my homework , If i fail my homework it may make me fail the 9 weeks.

Answer 1

The rate of change is 10. This means every 1 ticket sold produces a net profit of $10.00.

How to get the net profit

To get the net change in the ticket sold we would have 400 - 150

= 250

To get the net change in the net profit, we would have 2000 - (-500)

= 2500

The rate of change would be

2500 / 250

= 10

Hence we would say that the rate of change is 10. This means that for every 1 ticket sold, the net profit increases by $10.00.

Answer 2

The rate of change is 10. This means every 1 ticket sold produces a net profit of $10.00 (option B)

Step-by-step explanation:

To get the rate of change, we will find the slope using any two points on the table

Slope formula is given as:

`m\text{ = }(y_2-y_1)/(x_2-x_1)`

using points (tickets sold, net profit): (200, 0) and (225, 250)

`\begin{gathered} x_1=200,y_1=0,x_2=225,y_2\text{ = }250 \\ \text{slope = m = }\frac{250\text{ - 0}}{225\text{ - 200}} \\ \text{slope = }(250)/(25) \\ \text{slope = 10} \\ \\ u\sin g\text{ another two points to ascertain the slope is constant for any two points:} \\ (225,\text{ 250) amd (400, 2000)} \\ \text{slope = }\frac{2000\text{ - 250}}{400\text{ - 225}} \\ \text{slope = }(1750)/(175)\text{ = 10} \\ It\text{ is constant} \end{gathered}`

Hence, the rate is 10.

Since we are dividing the net profit by tickets sold, 10 represents the change in net profit per number of tickets sold

As a result, every 1 ticket will produce a net profit of $10

The rate of change is 10. This means every 1 ticket sold produces a net profit of $10.00 (option B)