Respuesta :

Answer:

The Function would be [tex]E = 6.5h[/tex].

Step-by-step explanation:

Given:

Time worked in (hrs) = 'h'

Earnings ($) = 'E'

Also Table is given:

Total Worked (hrs)                    Earnings($)

       10                                                65

       11                                               71.50

       12                                                 78

       13                                               84.50

We need to find the function for this table.

Now we will first find the earnings for 1 hour.

For  10 hrs = $65

So for 1 hr = Amount of earnings for 1 hr.

By Using Unitary method we get;

Amount of earnings for 1 hr = [tex]\frac{65}{10} = \$6.5[/tex]

Hence We can say that;

[tex]E = 6.5h[/tex]

Hence the Function would be [tex]E = 6.5h[/tex].

We will check for the table using this function we get;

when h = 10

[tex]E =6.5\times 10 = \$65[/tex]

when h = 11

[tex]E =6.5\times 11 = \$71.50[/tex]

when h = 12

[tex]E =6.5\times 12 = \$78[/tex]

when h = 13

[tex]E =6.5\times 13 = \$84.50[/tex]