Question

CTIVITY 1 QUESTION 1 The Stanger Child Welfare organisation is planning a fund-raiser and intends selling 200 tickets R150,00 each. The organisers have to choose between the Salt Rock Conference Centre and the Stanger Town Hall as a venue. A musical group has agreed to provide the music for free. 1. 1.1.1. The Stanger Town Hall charges basic fees of R3000 and R90 per person. TABLE 1: The cost of hiring the Stanger Town Hall Number of tickets sold (n) 0 50 100 B Cost(C) in rand 3 000 7 500 12 000 15 600 1.1.2. 200 21 000 a) Write the formula that represents the cost (C) of hiring the Stanger Town Use your formula to determine the value of B b) c) Use TABLE I to draw and label a straight line graph on the answer sheet. The Salt Rock Conference Centre has no basic fee but charges R120 per person. TABLE 2: The cost of hiring the Salt Rock Conference Centre Number of tickets sold (n) 0 50 160 200 100write the formula that represents the cost (c)​

Answer 1

Explanation:

=> The simplest form of

56

:

98

56:98 is

4

:

7.

4:7.

Explanation:

Given ratio -

56

:

98

56:98

We have to reduce it to its simplest form,

For that, we have to find the GCD of the numerator as well as the denominator:

So, the GCD for

56

56 and

98

98 is

14.

14.

Now, divide both the numerator and denominator by the GCD:

=

>

56

÷

14

98

÷

14

=>

98÷14

56÷14

=

>

4

7

=>

7

4

Hence, the simplest form is

4

:

7.

4:7.

Answer 2

Explanation:

1.1.1. The formula that represents the cost (C) of hiring the Stanger Town Hall is C = B + 90n, where B is the basic fee, n is the number of tickets sold, and 90 is the cost per person.

To determine the value of B, we can use the information given in Table 1. When n = 0, C = 3 000. Plugging this into the formula, we get 3 000 = B + 90(0), so B = 3 000.

Therefore, the formula for the cost of hiring the Stanger Town Hall is C = 3 000 + 90n.

b) To draw a graph of the cost of hiring the Stanger Town Hall, we can use the information from Table 1 and plot points on a coordinate plane with the number of tickets sold on the x-axis and the cost in rand on the y-axis. Then, connect the points with a straight line.

1.1.2. The formula that represents the cost (C) of hiring the Salt Rock Conference Centre is C = 120n, where n is the number of tickets sold, and 120 is the cost per person.

The cost of hiring the Salt Rock Conference Centre will be directly proportional to the number of tickets sold, As we can see from the formula C=120n and as we increase the number of tickets sold the cost will also increase.

c) To draw a graph of the cost of hiring the Salt Rock Conference Centre, we can use the information from Table 2 and plot points on a coordinate plane with the number of tickets sold on the x-axis and the cost in rand on the y-axis. Then, connect the points with a straight line.