Chapter SH, Problem 5.4MPS

To determine

To calculate:To write and solve the number of minutes required to make the cost equal for the two below rate plans for the teen -

  

Answer to Problem 5.4MPS

The number of minutes required to make the cost equal is $500$ .

Explanation of Solution

Given information:

Given-

  

Calculation:

Given-

Option A $=$ Monthly fee $=$ $\$25$ and Cost per minute $=$ $\$0.08$

Option B $=$ Monthly fee $=$ $\$15$ and Cost per minute $=$ $\$0.10$

Let the number of minutesrequired to make the cost equal be $x$ .

So, Cost of Option A $=$ $25+0.08x$

Similarly, Cost of Option B $=$ $15+0.10x$

As per the requirement, the cost should be equal, therefore:

Cost of Option A $=$ Cost of Option B

Thus, $25+0.08x$ $=$ $15+0.10x$

Solving the above equation, we have:

  $\begin{array}{l}25+0.08x=15+0.10x\\ 0.10x-0.08x=25-15\\ 0.02x=10\\ x=500\end{array}$

Thus, $500$ minutes are required to make the cost equal.

Conclusion:

The number of minutes required to make the cost equal is $500$ .