You have a wireless phone plan that costs $25 per month. You must also pay $.10 per minute for each minute over 500 min. you phone bill was more than $30 last month. Write an inequality to represent the number of minutes m you spent on the phone last month. Suppose you use 525 min next month. How much will your bill be?

The equation for your cost:

cost = .1(m-500) + 25 , where m is in minutes

so :
.1(m-500) + 25 > 30

For the second part, m = 525
cost = .1(525-500) + 25
= $27.50

Thanks so much for this equation it really helped me!!!!!!

To write the inequality, let's first establish the cost for the overage minutes. We know that the wireless phone plan costs $25 per month and that any minutes over 500 will cost $0.10 per minute.

The additional cost for the overage minutes can be obtained by multiplying the number of overage minutes (m - 500) by $0.10:

Additional cost = $0.10(m - 500)

To represent the inequality, we can now add the additional cost to the base cost of the plan and set it greater than $30:

$25 + $0.10(m - 500) > $30

Now, let's calculate the bill for next month, assuming you use 525 minutes. We substitute m = 525 into the inequality and solve for the bill:

$25 + $0.10(525 - 500) > $30
$25 + $0.10(25) > $30
$25 + $2.50 > $30
$27.50 > $30

Since $27.50 is NOT greater than $30, the bill for next month will NOT be more than $30.

To write an inequality that represents the number of minutes you spent on the phone last month, let's start by considering the excess minutes over 500.

The monthly plan includes 500 minutes, so any minutes used beyond that will incur an additional cost. The cost is $0.10 per minute, so for each minute over 500, you would be charged $0.10.

Let's define the variable 'm' to represent the total number of minutes you spent on the phone last month. To calculate the cost of excess minutes, we subtract 500 from 'm' and multiply the result by $0.10. Then, we add the base cost of the plan, which is $25. Finally, we can write the inequality:

25 + (m - 500) × 0.10 > 30

Next, let's determine how much the bill will be if you use 525 minutes next month. We will substitute 'm' with 525 in the inequality we just created and solve for the total cost:

25 + (525 - 500) × 0.10 > 30

25 + 25 × 0.10 > 30

25 + 2.5 > 30

27.5 > 30

Since the statement 27.5 > 30 is false, the bill will not exceed $30. Therefore, the bill for using 525 minutes next month will be $30 or less.