Trey travels 320 miles in 4 hours. Yesenia travels 200 miles in 2.5 hours. Are their average speeds proportional? a No, 200/2.5 is greater than 320/4 . b Yes, 320/4 is equal to 2.5/200 c Yes, 200/2.5 is equal to 320/4 . d No, the ratios are not equal.

(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 don't think there is enough