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AVprozaik [17]
3 years ago
11

Cody's school is selling tickets to the annual talent show. On the first day of ticket sales the school sold 7 senior citizen ti

ckets and student tickets for a total of 196 The school took in $104 on the second day by selling 5 senior citizen tickets and 6 student tickets What is the price each of one senior citizen ticket and one student ticket?
Mathematics
1 answer:
AveGali [126]3 years ago
5 0

Complete question:

Cody's school is selling tickets to the annual talent show. On the first day of ticket sales the school sold 7 senior citizen tickets and 14 student tickets for a total of 196 The school took in $104 on the second day by selling 5 senior citizen tickets and 6 student tickets What is the price each of one senior citizen ticket and one student ticket?

Answer :

Señior tickets = $10

Student ticket = $9

Step-by-step explanation:

Let :

Senior ticket = x

Student ticket = y

7x + 14y = 196 - - - (1)

5x + 6y = 104 - - - (2)

Multiply (1) by 5 and (2) by 7

35x + 70y = 980 - - - (3)

35x + 42y = 728 - - - (4)

Subtract (3) and (4)

28y = 252

y = 252 / 28

y = 9

From (1)

7x + 14(9) = 196

7x + 126 = 196

7x = 70

x = 10

Hence,

Señior tickets = $10

Student ticket = $9

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a.   Slope of f(x) is greater than g(x)

b.   y-intercept of f(x) is less than the y-intercept of g

Step-by-step explanation:

                                               Function f(x)

Given the function f(x)

x            f(x)

-3          -0.5

-2           0

-1            0.5

0             1

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\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-3,\:-0.5\right),\:\left(x_2,\:y_2\right)=\left(-2,\:0\right)

m=\frac{0-\left(-0.5\right)}{-2-\left(-3\right)}

m=0.5

Thus,

The slope of f(x) = 0.5

We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the given point (0, 1), we can easily observe that at x = 0, the value of y = 1.

Thus, the y-intercept of f(x) = 1

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Taking two points from the given graph of g(x)

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  • (0, 2)

Finding the slope between (1, 0) and (0, 2)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(1,\:0\right),\:\left(x_2,\:y_2\right)=\left(0,\:2\right)

m=\frac{2-0}{0-1}

Refine

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We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the given point (0, 2), we can easily observe that at x = 0, the value of y = 2.

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<u>FOR function f(x)</u>

The slope of f(x) = 0.5

The y-intercept of f(x) = 1

<u>FOR function gx)</u>

The slope of g(x) = -2

The y-intercept of g(x) = 2

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b.   y-intercept of f(x) is less than the y-intercept of g

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