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:

Hence, the model that best represents the data is:

$y=26.9x-1.3$

Step-by-step 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)

$y=34\times (1.204)^x$

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

Answer 2

The exponential function gotten from the table is y = 34(1.204)ˣ

Exponential function

An exponential function is in the form:

y = abˣ

where y, x are variables, a is the initial value of y and b is the multiplier.

Let y represent the lines of code written by x people.

From the table using the points:

(2,50) and (12, 320)

At (2, 50):

50 = ab²   (1)

At (12, 320):

320 = ab¹²   (2)

From equation 1 and 2:

b = 1.204, a = 34

The exponential function gotten from the table is y = 34(1.204)ˣ

Find out more on Exponential function at: https://brainly.com/question/12940982