Hey! I need help with (e) and (d). Omar is trying to choose between two Gym memberships.
• First membership: To pay 100LE for a monthly membership, then pay 5LE for
each time you decide to go to the Gym.
•Second membership: To pay 15LE for each time you go to the Gym.
a) Write down a system of equations that represents the two offers,
Where:
y is the total money per month.
x is the number of visits.
b) On a graph paper, Draw the graph of the two offers on the same set of axes, using
a scale of 1cm to represent 10LE on the vertical axis and 1cm to represent 1 visit
on the horizontal axis.
c) Hence, Write down which offer is suitable for each of the customers below.
Customers:
•Aya
Number of visits:4
•Yassin
Number of visits: 12
d) Based on your observations, discuss how you can advise Omar which
membership to select.

Write your answer to a reasonable degree of accuracy concerning money
paid & number of visits. Justify your answer.
e) Are there any other methods can be used to answer question (c)? Explain.

f) Explain, as critically as you can, whether your results make sense in the
context of a real life situation.

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional

3

step-by-step explanation:

answer: the proof is mentioned below.

step-by-step explanation:

since, given:   lines bc = ef

prove:   lines ac > ef

          statements                                           reason

1. bc=ef                                           1. given

2. ac= ab+bc                                 2. because b is the point between the  

                                                            line segment ac

3.   ac > bc                                       3. because if a line segment is equal to

                                                          the sum of two line segments then it is

                                                          always greater then each of these

                                                          individual line segments

4. ac > ef                                         4. by equality property.