Navin signed up for a gym membership. The cost was $125 plus $20 each month.

a) State the initial value and what it represents in this situation.

b) State the rate of change and what it represents in this situation.

c) State the type of relation.

d) Describe the rate of change (constant or not constant). Explain your
answer.

e) State whether the relation is an example of partial or direct variation.

Step-by-step explanation:

a.  The initial value (cost) of $125 is paid up front.  It only provides the right to pay $20 each month the gym is used.  

b.  The rate of change (from $125) is $20/month.  It is the monthly cost of membership.

c.  Total cost = $125 + $20x, where x is the number of months you are a active member.

d.  The rate of change is a constant $30/month.

e.  It is direct variation.  The more months, the more it costs at a fixed rate of $20/month.

step-by-step explanation:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since     2010 0     1     2     3       4       5

profits made in 1000's   39       84     111     120   111     84

we find that profit gradually increases form 2010 to 2013 upto 120,   then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

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3-4

step-by-step explanation:

the answer is 3-4 because both 45 and 60 has a multiple of 15.

45/3=15

60/4=15

therefore the odds against selecting a red is 4-3