Question

The given information shows the production of a product on certain days. Find the missing term (in thousands) based on the given data, if it represents a linear function.

• A. 59

Answer 1

The correct option is A 59
From the table, we observe:


For time = 0 day, Production (in thousands) = 27
For time = 5 days, Production (in thousands) = 35

$\text{So, rate of change = m}=\frac{35-27}{5-0}=\frac{8}{5}=1.6$

For time = 0 day, the production is 27,
that means y-intercept is 27

A linear function is always represented
by the equation of a straight line, as
y = mx + c

So, putting values, we get:
$\Rightarrow y=1.6x+27$

For x = 20,
$y=1.6\times 20+27=59.$

Therefore, for 20 days the production
will be 59 thousand.