Answer:
Option a :
Step-by-step explanation:
Given :
The drama club sold 100 tickets to a show, it had $300 in profit.
The next show, it had sold a total of 200 tickets and had a total of $700 profit.
To Find : Equation models the total profit, y, based on the number of tickets sold, x
Solution :
For 100 tickets he had $300 in profit .
⇒ (
)=(100,300)
For 200 tickets he had $700 in profit .
⇒ (
)=(200,700)
We will use point slope form i.e.
--(A)
Now, to calculate m we will use slope formula :
![m = \frac{y_{2} -y_{1} }{x_{2}-x_{1} }](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_%7B2%7D%20-y_%7B1%7D%20%7D%7Bx_%7B2%7D-x_%7B1%7D%20%20%7D)
![m = \frac{700 -300}{200-100}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B700%20-300%7D%7B200-100%7D)
![m =4](https://tex.z-dn.net/?f=m%20%3D4)
Now, putting values in (A)
Thus Option a is correct i.e.