The table shows the number of minutes Jalen talks on his mobile phone and the cost of the phone calls. Jalen’s Mobile Phone Cost Number of minutes, x 150 220 250 275 Cost, y $7.50 $11.00 $12.50 $13.75 If the cost varies directly with the number of minutes Jalen talks on the phone, which equation represents the variation?

Respuesta :

From the listed options, it's A) y= 0.05

Like this if it helps-hope it does

Answer:

[tex]y=0.05x[/tex]

Step-by-step explanation:

Given :

x                    Cost, y  

150               $7.50  

220              $11.00

250              $12.50  

275              $13.75

To Find: If the cost varies directly with the number of minutes Jalen talks on the phone, which equation represents the variation?

Solution:

To find equation we will use two point slope form.

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex](x_1,y_1)=(150,7.50)[/tex]

[tex](x_2,y_2)=(220,11.00)[/tex]

Substitute the values in the formula.

[tex]y-7.50=\frac{11-7.5}{220-150}(x-150)[/tex]

[tex]y-7.50=0.05(x-150)[/tex]

[tex]y-7.50=0.05x-7.50[/tex]

[tex]y=0.05x[/tex]

Hence the equation which represents the variation is   [tex]y=0.05x[/tex]