Aflorist currently makes a profit of $20 on each of her celebration bouquets and sells an average of 30 bouquets every week. she noticed that when she reduces the price such that she earns $1 less in profit from each bouquet, she then sells three more bouquets per week. the relationship between her weekly profit, p(x), after x one-dollar decreases is shown in the graph below.

We use the attached graph

a. The maximum profit is the y value that is the value of P(x) that reaches maximum. From the graph the maximum value of P(x) is 675

So the maximum profit the florist will earn from selling bouquets = $675

b. Break even is the point where the profit p(x) becomes 0

From the graph we can see that P(x) =0 at x= -10 and x=20

x=-10 is invalid

So, break even after 20 one- dollar decreases

c. The interval of number of one dollar decreases is where the profit P(x) is greater than 0.

From the graph its very clear that the profit P(x) is greater than 0 in the interval 0 to 20.

So, The interval of number of one dollar decreases for which the florist makes a profit from celebration bouquet is (0, 20)

Screen shared

Step-by-step explanation:

I took the test and got it right

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

~

570, the answer is 570, hope it