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The table shows the amount of money LaTasha charges customers to mow their lawns. The table represents a linear function.

Time (h) 0 12 1 112 2
Cost ($) 10 14 18 22 26

What does the initial value mean for this function?

A. LaTasha earns $18 for 1 hour of work.

B. LaTasha charges $10 before she begins mowing.

C.LaTasha does not charge her customers unless she has mowed for at least a half hour.

D. LaTasha charges $8.00 an hour to mow lawns.

Respuesta :

it is b    Latasha charges 10 dollars before she begins to work

Answer:

The correct option is B.

Step-by-step explanation:

The given table represents a linear function. The coordinate pairs are [tex](0,10),(\frac{1}{2},14),(2,18),(1\frac{1}{2},22),(2,26)[/tex].

Choose any two points from these points and find the slope of the linear function.

Let the two points are (0,10) and (2,18).

[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{18-10}{2-0}=\frac{8}{2}=4[/tex]

Since the slope of the line is 4, therefore the  LaTasha earns $4 for 1 hour of work.

The point (0,10) represents that LaTasha charges $10 at time 0. So,  LaTasha charges $10 before she begins mowing and option B is correct.

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