Question

1. a social researcher claims that the longer people stay in their job, the less satisfaction they gain from their work. she asked a sample of people how many years they had been employed in their current job and to rate their level of satisfaction out of 10. the results are presented in the table.

9c which form of equation would be best suited to model the relationship between the number of years employed and satisfaction with the job?
the correct option was a
$y = ax^{2}+bx + c$
$y=mx + b$
$y=a^{x}+b$
5 great job!
9d the social researcher herself has been employed in her current job for 5 years and rates her satisfaction with her work a 9 out of 10. what is the difference between the satisfaction rating approximated by the model $y = 0.5x^{2}-7x + 27.5$ and her actual rating?
difference =

Explanation:

Step1: Substitute \(x = 5\) into the model \(y=0.5x^{2}-7x + 27.5\)

$$
LATEXBLOCK0
$$

Step2: Calculate the value of \(y\)

$$
LATEXBLOCK1
$$

Step3: Find the difference

The actual rating is \(9\). The difference \(=|9 - 5|=4\)

Answer:

\(4\)