A carnival manager counted 275 ticket receipts after the first day of the carnival. The price for an adult ticket was $11.50, and the price for a student ticket was $10. The total amount of money collected was $2,930. Let x represent the number of adult tickets and y represent the number of student tickets. Write the ordered pair, (x, y), that represents the ticket sales.

The ordered pair that represents the ticket sales is (120,155).

Step-by-step explanation:

From the information given, you can write the following equations:

x+y=275 (1)

11.50x+10y=2,930 (2), where:

x is the number of adult tickets

y is the number of student tickets

Now, you can solve for x in (1):

x=275-y (3)

Then, you can replace (3) in (2):

11.50(275-y)+10y=2,930

3,162.5-11.50y+10y=2,930

3,162.5-2,930=11.50y-10y

232.5=1.50y

y=232.5/1.50

y=155

Finally, you can replace the value of y in (3) to find x:

x=275-y

x=275-155

x=120

According to this, the answer is that the ordered pair that represents the ticket sales is (120,155).

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b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b