Under her cell phone plan, Paisley pays a flat cost of $60 per month and $3 per gigabyte. She wants to keep her bill under $75 per month. Write and solve an inequality which can be used to determine gg, the number of gigabytes Paisley can use while staying within her budget.

Question

Answer
Attempt 1 out of 2


Inequality:
gg

Answer 1

To determine the number of gigabytes \( g \) that Paisley can use while keeping her bill under $75 per month, we can set up the following inequality based on her cell phone plan:

The total cost is comprised of the flat fee plus the cost per gigabyte:

\[ \text{Total cost} = 60 + 3g \]

We want this total cost to be less than or equal to $75:

\[ 60 + 3g < 75 \]

Now, we will solve the inequality:

1. Subtract 60 from both sides:

\[ 3g < 75 - 60 \] \[ 3g < 15 \]

2. Divide both sides by 3:

\[ g < \frac{15}{3} \] \[ g < 5 \]

Thus, the inequality is:

\[ g < 5 \]

This means that Paisley can use up to 4 gigabytes of data (since she cannot use a fractional part and has to stay under 5) while keeping her bill under $75.