The function c(t) represents the total cost for a quilter to make t quilts. c(t)=55t+175 what does the value 55 represent in this situation? for each quilt made, the total cost decreases by $55. for each quilt made, the total cost increases by $55. the initial cost is $55. the total cost to produce t quilts is $55.

for each quilt made, the total cost increases by $55

Step-by-step explanation:

In the function t, the number of quilts, is multiplied by 55.  This means that for every increase in t, the number of quilts, the cost is increased by $55.

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step-by-step explanation:

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: