sally's cell phone company charges a flat rate of $15.00 per month and $0.12 per minute. eduardo's cell phone company charges a flat rate of $18.00 per month and $0.09 per minute. how many minutes would you have to use for the price to be the same for both plans?
15+ .12x = 18 + .09x
.03x = 13
Can you solve it from here?
Divide both sides by .03
To find out how many minutes you would have to use for the price to be the same for both plans, we can set up an equation.
Let's say the number of minutes used is represented by "m."
For Sally's cell phone company, the cost is a flat rate of $15.00 per month plus $0.12 per minute. So the total cost for Sally's plan can be calculated as:
Total cost for Sally's plan = Flat rate + (Cost per minute × Number of minutes)
Total cost for Sally's plan = $15.00 + ($0.12 × m)
For Eduardo's cell phone company, the cost is a flat rate of $18.00 per month plus $0.09 per minute. So the total cost for Eduardo's plan can be calculated as:
Total cost for Eduardo's plan = Flat rate + (Cost per minute × Number of minutes)
Total cost for Eduardo's plan = $18.00 + ($0.09 × m)
Now, we want to find the number of minutes "m" for which the total costs for both plans are equal. So we can set up the following equation:
$15.00 + ($0.12 × m) = $18.00 + ($0.09 × m)
To solve this equation, we can subtract $15.00 from both sides and subtract $0.09 × m from both sides:
$0.12 × m - $0.09 × m = $18.00 - $15.00
Simplifying, we get:
$0.03 × m = $3.00
Now, we can divide both sides by $0.03 to solve for "m":
m = $3.00 / $0.03
m = 100
Therefore, you would have to use 100 minutes for the price to be the same for both plans.