Question

The table shows the estimated number of lines of code written by computer programmers per hour when x people are working.

Which model best represents the data?

A.) y = 47(1.191)x

B.) y = 34(1.204)x

C.) y = 26.9x – 1.3

D.) y = 27x – 4

Answer 1

Answer: C

Explanation:

Answer 2

Hence, the model that best represents the data is:

`y=26.9x-1.3`

Explanation:

We are given a table that shows the estimated number of lines of code written by computer programmers per hour when x people are working.

We are asked to find which model best represents the data?

So for finding this we will put the value of x in each of the functions and check which hold true that which gives the value of y i.e. f(x) as is given in the table:

We are given 4 functions as:

A)

`y = 47(1.191)^x`

B)

`y=34* (1.204)^x`

C)

`y=26.9x-1.3`

D)

`y=27x-4`

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