Question

Nadine can send or receive a text message for $0.15 to get an unlimited number for $5.00 write and solve an inequality to determine how many messages she can send and receive so the unlimited plan is cheaper than playing for each message

Answer 1

0.15t > 5

Explanation:

t = how many text messages Nadine receives

First, you divide both sides by 0.15 because whatever you do to one side, you do to the other. And because 0.15t is multiplication, we do the opposite. So 5 divided by 0.15 equals 33.33. Round it to 33 and then you get t > 33.

0.15/0.15t > 5/0.15

t > 5/0.15

t > 33.33

t > 33

Answer 2

The Inequality representing the number of messages send or receive is
`0.15x>5`

After 34 messages the unlimited plan would be cheaper than paying for each messages.

Explanation:

Given:

Cost of each message = $0.15

Cost of Unlimited plan = $5.00

We need to find number of messages she can send receive till Unlimited plan will be cheaper than paying for each message.

Solution:

Let the number of messages be 'x'.

So we can say that;

Cost of each message multiplied by number of messages should be greater than Cost of Unlimited plan.

framing in equation form we get;

`0.15x>5`

The Inequality representing the number of messages send or receive is
`0.15x>5`

On Solving the inequality we get;

Dividing both side by 0.15 we get;

`(0.15x)/(0.15)>(5)/(0.15)\\\\x>33.33`

Hence After 34 messages the unlimited plan would be cheaper than paying for each messages.