Question

or her cell phone plan, Heather pays $30 per month plus $0.05 per text. She wants to keep her bill under $60 per month. Which inequality represents the number of texts, t, Heather can send each month while staying within her budget?

Answer 1

She can send 600 texts since she wants to pay $30 for her plan. Divide 30 by 0.05 and you get 600

Answer 2

The inequality $0.05t+$30 > $60 represents how much she could text to keep her bill under $60
To solve this we would first subtract the Y intercept, which we know is $30 because that's how much she pays per month even with out text
So, 60-30=30
The inequality is now
$0.05t > 30

Either equation, $0.05t ≥ $30 or $0.05t+$30 ≥ $60 could both represent how much she could text with her bill being less than $60