Ian and his friends are renting a cabin that charges an initial fee plus a rate per night. The relationship between the cost and number of nights is shown in the graph. a. What is the initial fee to rent the cabin?

b. What is the cost per night?

c. Write and equaiton to represent the situatuion.

what are you trying find out?

step-by-step explanation:

b

step-by-step explanation:

(a) {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …}

(b) $59 398

step-by-step explanation:

(a) the annual sequence of profits

aₙ = a₁rⁿ⁻¹

the model for the sequence of profits is {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …} .

(b) profit after 15 yr

  a₁ = $ 30 000

  r = 1.05

a₁₅ = 30 000 × 1.05¹⁴

a₁₅ = 30 000 × 1.979 93

a₁₅ = $59 398

the profit in year 15 will be $59 398.

i belive the biggest ratio would be 18: correct me if im wrong