Mathematics, 20.07.2019 13:00 lexi9239

Pl use the graph to complete each statement about this situation.

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1) The questions are:

i) What is the maximum profit the florist will earn?

ii) What is the break-even

iii) What is the interval in chich the florist makes profin?

Answers:

1) The graph is a parabola in which the function p(x) is the profit and x is the number of one-dollar decreases

The vertex of the parabola is the maximum of the function, so that tells the number of one-dollar decreases for which the maximum profit is earned.

The vertex shown in the graph is (5, 675).

If you have problems reading the number 5, you can calculate it because it is the middel point between the two x-intercepts, i.e (20 - 10) / 2 = 10 / 2 = 5.

Therefore, the maximum profit earned is $675 and it is when the number of one dollar decreases is 5. ← first answer

2) Break-even means that the florist will not either earn or lose, which is the same that the profit is zero.

In the graph, the profit zero is the x-intercept. That is x = 20 (the negative portion of the graph is not part of the domain because the variable x has to be positive).

So, the answer is 20 one dollar decreases. ← second answer

3) The interval of the number of one-dollar dicreases for which the florist make a profit is the interval (0,20), as x is a whole number that is equivalent to [1,19] ← third answer

Answer from: Quest

468

step-by-step explanation:

Answer from: Quest

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.

The graph below shows the value of a $100 deposited into three different accounts over a period of 2

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Pl use the graph to complete each statement about this situation....