Question

Willow is in her fourth year working for the same company. Her starting salary was $48,000. The next year, her salary was $50,400. The following year, her salary was $52,920. This year, her salary is $55,566. Willow’s boss says her salary will continue to increase by the same percentage each year.

Write the values given in the scenario as a sequence.

(4 points)
,
,
,
,
,
,
Question 2
What type of sequence is this?(1 point)
Responses

An arithmetic sequence with a common difference of 1.05.
An arithmetic sequence with a common difference of 1.05.

A geometric sequence with a common ratio of 1.05.
A geometric sequence with a common ratio of 1.05.
Question 3
Create a function that models this sequence/scenario.(2 points)
f(x)=


Question 4
By what percentage is Willow's salary increasing each year?(2 points)
%
%
Question 5
Willow wants to use your function to predict her salary in the future. She wants to make sure her predictions are made to a reasonable level of accuracy to which decimal place should she round her answer (hint : Money)
answers
A: the nearest whol number
B: tenths
C: hundreths
D: thousandths

Answer 1

[AI-generated answer — Bot GPT 3.5]

Values given in the scenario as a sequence:

$48,000, $50,400, $52,920, $55,566

Type of sequence: A geometric sequence with a common ratio of 1.05.

Function that models the sequence/scenario:
f(x) = 48000 * (1.05)^x

Percentage by which Willow's salary is increasing each year: 5%

To predict her salary in the future, Willow should round her answer to the nearest cent (hundredths place).