4. Princess Peach runs a meditation store, where she teaches a 1 hour meditation course for $358. In order to entice customers to take longer courses, she
decreases the price by $2 for every 30 minute increase.
a. Write a function for the revenue.
b. What is the maximum revenue?
c. How long should each session be, in hours, for Princess Peach to attain
maximum revenue?
d. Assume that it costs $30 to run a session and Princess Peach spends an
average of $1600 per session in fixed costs. Based on only these 2
factors, what is the function for the costs?
e. In order to have a profit, the revenue must be greater than the costs. How
long should each session be to gain a profit?

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.

~

y + 11 = (1/4)(x + 16)

step-by-step explanation:

if you are looking for the unit rate then the answer would be 9 because unit rate is distance divided by time.

step-by-step explanation:

[2, 2.5)

(2.5, 3]

step-by-step explanation:

i think its these two not sure [2, 2.5)

(2.5, 3]