The owner of a luxury motor yacht that sails among the 4000 Greek islands charges $460 per person per day if exactly 20 people sign up for the cruise. However, if more than 20 people (up to the maximum capacity of 90) sign up for the cruise, then each fare is reduced by $7 per day for each additional passenger. Assume at least 20 people sign up for the cruise, and let x denote the number of passengers above 20. (a) Find a function R giving the revenue per day realized from the charter. R(x)

R(x) = (460 * 7x)*(20+ x)

Step-by-step explanation:

If exactly 20 people sign up :

Charge per person = $460

For passengers after 20:

At number of passengers = 20 ;

Cost = (fee * discount * number of additional passesengers) * (20 + Number of additional passengers

Let number of additional passengers after 20 = x

R(x) = ($460 * $7x) * (20 + x)

Hence,

R(x) = (460 * 7x)*(20+ x)

hey there!

if she's saving for six months, let's divide the total number we need for the trip by six, dividing it into the amount that needs to be saved for each month.

500 ÷ 6 =

she needs to save at least this amount each month, so we should use this symbol: ≥

let x be the amount she saves each month.

your final answer is x ≥

hope this !