Atelevision manufacturer decides to increase its production by 25% per month to meet increasing customer demand. the company currently produces 2,000 television sets a month.

which of the following graphs shows the total number of television sets, y, manufactured by the company in x months?

The last graph

Step-by-step explanation:

The problem presented here is similar to a compound interest problem since we have an initial value, a growth constant and the aspect of time.

We can consider the number of television sets currently produced by the company to be our Principal amount;

P = 2000

The rate of increase in production per month can be considered as our interest rate earned;

r = 25% = 0.25

The total number of television sets y will be our Accumulated amount;

A = y

The duration x becomes our time n.

The compound interest formula is given as;

We simply substitute the given information into the formula;

This is an exponential growth function since the base of the exponent x is greater than 1.

A graph of the function will be an exponential curve passing through ( 0, 2000) since 2000 is our initial value

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

b

step-by-step explanation: