Question

Please help with #27 and please explain

Answer 1

Answer:

(a) 3 added to twice the value of n

(b) $T = 2n +3$

Step-by-step explanation:

Given

Table #27

Solving (a): First, we express as an equation

The table illustrates a linear function; so, we calculate the slope (m) first

$m = \frac{T_2 - T_1}{n_2 -n_1}$

Where:

$(n_1.T_1) = (4,11)$

$(n_2.T_2) = (8,19)$

So:

$m = \frac{T_2 - T_1}{n_2 -n_1}$

$m = \frac{19 - 11}{8-4}$

$m = \frac{8}{4}$

$m = 2$

The equation is then calculated using:

$T = m(n - n_1) + T_1$

$T = 2(n - 4) + 11$

$T = 2n - 8 + 11$

$T = 2n +3$

In words, the equation is: 3 added to twice the value of n

Solving (b): As an equation.

This has been solved in (a) above:

$T = 2n +3$