Chapter 1.3, Problem 27E

To determine

To find:when the cost of internet services is equal.

Answer to Problem 27E

Hence,the cost of internet services is equal for every 5 months.

Explanation of Solution

Given:

	Installation fee	Price per month
Company $A$ Company $B$	$\$60.00$$\$25.00$	$\$42.95$$\$49.95$

Calculation:

Find when the costs are equal:

Let m = Number of months Define a variable.

Write an expression to model the costof interest service for each company

Company $A:60+42.95m$

Company $B:25+49.95m$

  $60+42.95m=25+49.95m$ Set the expressions equal to each other.

  $60=25+7m$ Subtract $49.95m$ from both sides.

  $\begin{array}{l}35=7m\\ m=5 \end{array}$ Divide both sides by $7$ .

Conclusion:

Hence, the cost of internet services is equal for every 5 months