Starygamergirl13
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PLEASE HELP FAST!! WILL MARK BRAINLIEST!!!!

Bryn and Eddie are selling tickets to a play. They each sell a number of tickets when they first get them and then sell a consistent number of tickets each day.
The table shows the number of tickets sold by Bryn.
Time (days) Number of tickets sold
0 26
4 50
7 68
12 98

The equation y = 5x + 33 shows the number of tickets sold by Eddie, with y representing the number of tickets sold and x representing the time in days.

Which statements about the ticket sales are true? (((((Select each correct answer.)))))

A.) Eddie's rate of selling tickets is greater than Bryn's rate of selling tickets.
B.) Bryn sold 6 tickets each day.
C.) When they first got the tickets, Bryn sold fewer tickets than Eddie.
D.) Eddie sold 33 tickets when he first got them.

Respuesta :

ZRICK
In 4 days Bryn sells 24 tickets (50-26)
So in 1 day he sells 6 tickets --> B is right
The +33 in the equation means, that Eddie sold 33 tickets oon the first day
--> So C.) and D.) are right
When you replace the x in the equation with 1, you'll get the tickets, that eddie sold on the first day. --> y = 5 *(1)+33 = 38
38 tickets - 33tickets = 5 tickets ( the rise)
-->A.) is wrong, because Bryn sold two tickets more as Eddie per day

Answer:

Option B, C and D are correct choices.

Step-by-step explanation:

We are told that the equation [tex]y=5x+33[/tex] shows the number of tickets sold by Eddie, with y representing the number of tickets sold and x representing the time in days.

We have been given a table that shows the number of tickets sold by Bryn.

We can see from table that x equals 0, y equals 26, this means that y-intercept or initial number of tickets sold by Bryn is 26.

Now let us find slope of the line using slope formula.

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex], where,

m = Slope of line,

[tex]y_2-y_1[/tex] = Difference between two y-coordinates,

[tex]x_2-x_1[/tex] = Difference between two x-coordinates of same y-coordinates.

Upon substituting coordinates of point (0,26) and (7,68) in slope formula we will get,

[tex]m=\frac{68-26}{7-0}[/tex]  

[tex]m=\frac{42}{7}[/tex]

[tex]m=6[/tex]

Now let us write equation for the number of tickets sold by Bryn in slope-intercept form of equation [tex](y=mx+b)[/tex].

[tex]y=6x+26[/tex]

Therefore, the equation [tex]y=6x+26[/tex] represents the number of tickets sold by Bryn in x days.

Now let us check our given statements one by one.

A. Eddie's rate of selling tickets is greater than Bryn's rate of selling tickets.

We can see that slope of Eddie's ticket is 5, which means he sells 5 tickets each day, while slope of Bryn's ticket is 6, which shows that Bryn sells 6 tickets each day, therefore, option A is not true.

B. Bryn sold 6 tickets each day.

Since slope of Bryn's ticket is 6, which shows that Bryn sells 6 tickets each day, therefore, option B is true.

C. When they first got the tickets, Bryn sold fewer tickets than Eddie.

We can see that y-intercept for Eddie is 33 and y-intercept for Bryn is 26, which is less than Eddie. Therefore, option C is correct as well.

D. Eddie sold 33 tickets when he first got them.

Since y-intercept represents initial number of tickets, therefore, option D is true as well.

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