druiz1518
Answered

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Please help with #27 and please explain


Please Help With 27 And Please Explain class=

Sagot :

MrRoyal

Answer:

(a) 3 added to twice the value of n

(b) [tex]T = 2n +3[/tex]

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

[tex]m = \frac{T_2 - T_1}{n_2 -n_1}[/tex]

Where:

[tex](n_1.T_1) = (4,11)[/tex]

[tex](n_2.T_2) = (8,19)[/tex]

So:

[tex]m = \frac{T_2 - T_1}{n_2 -n_1}[/tex]

[tex]m = \frac{19 - 11}{8-4}[/tex]

[tex]m = \frac{8}{4}[/tex]

[tex]m = 2[/tex]

The equation is then calculated using:

[tex]T = m(n - n_1) + T_1[/tex]

[tex]T = 2(n - 4) + 11[/tex]

[tex]T = 2n - 8 + 11[/tex]

[tex]T = 2n +3[/tex]

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:

[tex]T = 2n +3[/tex]

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