Question

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. Which inequality represents the number of texts, t, Heather can send each month while staying within her budget?

Answer 1

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

Step-by-step 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.

Answer 2

Step-by-step explanation:

30 + .05t < 60

If you need it solved,

30 + .05t < 60

.05t < 30

t < 600