Question

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?

Answer 1

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

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Answer 2

`y=0.05x`

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.

`y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)`

`(x_1,y_1)=(150,7.50)`

`(x_2,y_2)=(220,11.00)`

Substitute the values in the formula.

`y-7.50=(11-7.5)/(220-150)(x-150)`

`y-7.50=0.05(x-150)`

`y-7.50=0.05x-7.50`

`y=0.05x`

Hence the equation which represents the variation is
`y=0.05x`