Question

1. here are two cell phone plans.

• plan a costs $70 per month and comes with a free phone worth $500.
• plan b costs $50 per month, but doesnt come with a free phone.

if you choose plan b and buy a $500 phone, after how many months will your total cost be the same as the cost of choosing plan a? show or explain your thinking.

Explanation:

Step1: Define variables and equations

Let $m$ = number of months.
Total cost for Plan A: $C_A = 70m$
Total cost for Plan B: $C_B = 50m + 500$

Step2: Set costs equal to each other

$$70m = 50m + 500$$

Step3: Isolate the variable term

$$70m - 50m = 500$$
$$20m = 500$$

Step4: Solve for $m$

$$m = \frac{500}{20}$$

Answer:

25