Question

O EQUATIONS AND INEQUALITIESSolving a decimal word problem using a linear inequality with th...

Answer 1

Step-by-step explanation

We are to set up the equations for plans A and B

If the number of minutes is m

For plan A, we will have

The cost C will be

`C=0.06m`

For plan B

the cost will be

`C=3.6+0.05m`

We are asked to find the amount of monthly phone price for which plan A will exceed B

`0.06m\ge3.6+0.05m`

Solving for m

`\begin{gathered} 0.06m-0.05m>3.6 \\ \\ 0.01m>3.6 \\ \\ m>(3.6)/(0.01) \\ \\ m>360 \end{gathered}`

This means that for all amounts greater than 360 minutes, plan A will cost more than B

`m>360\text{ minutes}`