Answer:
For minutes less than 50, Verizon's monthly plan will be less expensive then T mobiles.
Explanation:
Let the minutes used be
.
Given:
Cost per minute by Verizon = $ 0.50
∴ Total cost for
minutes by Verizon =
![0.5x](https://img.qammunity.org/2020/formulas/mathematics/high-school/zesgni7wo3l7yg219q35jn0zlji5xjiqz2.png)
Cost per minute by T mobile = $ 0.10
∴ Cost for
minutes by T mobile =
![0.1x](https://img.qammunity.org/2020/formulas/mathematics/high-school/saeipw6jnft9dpva6jeny6rwxomdqk64rm.png)
Fixed cost charged by T mobile = $ 20
Therefore, the total cost charged by T mobile =
![0.1x+20](https://img.qammunity.org/2020/formulas/mathematics/high-school/zln0u4078asfu9mf6m5t5lo2x0eq8odnhy.png)
Now, for Verizon cost to be less than T mobile's cost,
![0.5x<0.1x+20\\0.5x-0.1x<20\\0.4x<20\\x<(20)/(0.4)\\x<50](https://img.qammunity.org/2020/formulas/mathematics/high-school/kqh4jc5yivdgu5qqria8al4hzmfktdpykt.png)
Therefore, for
, Verizon's monthly plan will be less than that of T mobile's plan.
So, for up to 50 minutes, Verizon's plan is cheaper than T mobile's plan.