11. A customer purchases a stroller and packs of diapers from a store. The table shows the total cost, in dollars, based on the number of packs of diapers purchased, x.
Packs of Diapers 2
Total Cost (in dollars) $450
6 10
$550 $650
Which function models the relationship between the number of packs of diapers, x, and the
total cost, f(x)?
A f(x) = 25x + 400
B f(x) = 25x + 450
C f(x) = 50x + 400
D f(x) = 50x + 450

f(x) = 25x + 400

Step-by-step explanation:

Here, we want to find the relationship between the number of diaper packs and the total cost

From what we have in the options, we can see a linear relationship;

Since it is a linear relationship, it can be modeled using the equation;

y = mx + b

where m is the slope and b is the y-intercept

From what we have, we can identify the following parts;

where x represents number of diaper packs and f(x) or y represents total cost

The points identifiable are as follows;

(2,450) , (6,550) and (10,650)

The slope will be;

(550-450)/(6-2) = 100/4 = 25

So we have the equation partially as;

y = 25x + b

To get b, we can use any of the points

Let’s use (2,450)

Thus, we have

450 = 25(2) + b

b = 450 - 50

b = 450 - 50

b = 400

So the equation is;

y = 25x + 400

Thus;

f(x) = 25x + 400

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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center= (-2,0)

radius= sqrt2/2

step-by-step explanation: