For her cell phone plan Heather pays $30 per month plus $0.05 per text. She wants to keep her bill under $60 per month. What inequality represents how many texts Heather can send each month while staying within her budget?

1 Answer
Mar 29, 2018

Answer:

The monthly cost is #30+0.05n# if we call the number of texts #n#.
Heather wants to keep this less than #60#, so the inequality is:

#30+0.05n<60#

Explanation:

Note that we can also subtract #30# from each side:

#0.05n<30#

We can also divide both sides by #0.05#:

#n<600#

This is the most useful inequality, since it tells Heather she needs to send fewer than 600 texts per month, or about 20 per day.