MATHEMATICS MIDDLE SCHOOL

Kayla's school is selling tickets to a play. On the first day of ticket sales, the school sold 5 senior citizen tickets and 3 child tickets for a total of $69. The school took in $73 on the second day by selling 1 senior citizen ticket and 8 child tickets. Find the price of a senior citizen ticket and the price of a child ticket

Answers

Answer 1

Answer:

Answer:

Senior Citizen Tickets Cost = $9

Child Tickets Cost = $8

Step-by-step explanation:

Let price of senior ticket be "s", and

price of child ticket be "c"

5 senior ticket and 3 child ticket cost 69, so we can write:

$5s+3c=69$

Also, 1 senior and 8 child tickets cost 73, thus we can write:

$s+8c=73$

$s=73-8c$

We can put this into 1st equation and get an equation in terms of "c" and solve for c first:

$5s+3c=69\n5(73-8c)+3c=69\n365-40c+3c=69\n296=37c\nc=8$

Thus, c = 8

Now,

s = 73 - 8c

s = 73 - 8(8)

s = 73 - 64

s = 9

So,

Senior Citizen Tickets Cost = $9

Child Tickets Cost = $8

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Answers

For this case we have that the slope of a line is given by:

$m = \frac {y2-y1} {x2-x1}$

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Answer:

Option D

Answer:

Choice D is the answer.

Step-by-step explanation:

We have given two points.

Let (x₁,y₁) = (-1,4) and (x₂,y₂) = (8,-2)

We have to find the point-slope form of the line that passes through the given points.

y-y₁ = m(x-x₁) is point-slope form of the line that passes through the points.

m is slope of line.

m = y₂-y₁ / x₂-x₁

Putting values in above formula , we have

m = -2-4 / 8-(-1)

m = -6 / 9

m = -2/3

Putting values of slope and using a point , we have

y-4 = -2/3(x-(-1))

y-4 = -2/3(x+1) is point-slope form of line that passes through the points (-1,4) and (8,-2).

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Answers

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