Two salary options are given to students working on an after-school project. Option 1: The students receive $3 on the first day. Each day after that, the students are paid $2 more than the previous day’s payment.

Option 2: The students receive $0.05 on the first day. Each day after that, the students are paid double the previous days’ payment.

Choose the explicit rule for
, the term that describes the payment the students would earn on the nth day under each option.

Option 1:

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2

the correct answer is b. negative exponential growth.

step-by-step explanation:

you can tell it's an exponential function because it decreases rapidly then levels out and never touches the x-axis.

it is negative because the y-axis decreases as the x-axis increases.

therefore it is a negative exponential growth graph.

hope i !