Question

The table shows the estimated number of lines of code written by computer programmers per hour when x people are working. A 2-column table with 6 rows. The first column is labeled people working with entries 2, 4, 6, 8, 10, 12. The second column is labeled lines of code written hourly with entries 50, 110, 160, 210, 270, 320. Which model best represents the data?

Answer 1

Answer:

We make the table of these values at different values of x.

x                  A                 B                C               D

2              66.66          49.3            52.5           50

4             94.57            71.44           106.3         104  

6             134.14           103.57         160.1          158

8             190.27          150.14          213.9         212

10           269.91           217.64         267.7         266

12           382.85          315.5           321.5          320.

Hence, the function that best represents the data is:

Option C.

y=26.9x-1.3

Step-by-step explanation:

Answer 2

Considering the situation described, it is found that a linear model best represents the data, because there is a relatively consistent additive rate of change.

When to use a linear model and when to use an exponential model?

• If the rate of change is additive, that is, the difference between consecutive terms is the same, a linear model is used.

• If the rate of change is multiplicative, that is, the quotient between consecutive terms is the same, an exponential model is used.

In this problem, when the input changes by 2, the output always increases between approximately 50 and 60, that is, the same values, hence a linear model best represents the data, because there is a relatively consistent additive rate of change.

More can be learned about linear models at https://brainly.com/question/24808124