Question

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.

Answer 1

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

Answer 2

The correct option is B.

Explanation:

The given table represents a linear function. The coordinate pairs are
`(0,10),((1)/(2),14),(2,18),(1(1)/(2),22),(2,26)`.

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).

`m=(y_2-y_1)/(x_2-x_1)=(18-10)/(2-0)=(8)/(2)=4`

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.